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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 10304bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10304.c1 | 10304bi1 | \([0, 0, 0, 212, 40]\) | \(1029037824/596183\) | \(-610491392\) | \([]\) | \(10752\) | \(0.37528\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10304bi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 10304bi do not have complex multiplication.Modular form 10304.2.a.bi
sage: E.q_eigenform(10)