# Properties

 Label 10304.b Number of curves $1$ Conductor $10304$ CM no Rank $1$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("b1")

sage: E.isogeny_class()

## Elliptic curves in class 10304.b

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10304.b1 10304bh1 $$[0, 0, 0, 97700, 297725608]$$ $$100718081964000000/37453512751940327$$ $$-38352397057986894848$$ $$[]$$ $$391680$$ $$2.4369$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 10304.b1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 10304.b do not have complex multiplication.

## Modular form 10304.2.a.b

sage: E.q_eigenform(10)

$$q - 3q^{3} + q^{7} + 6q^{9} - 6q^{11} - q^{13} + O(q^{20})$$
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