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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 53312bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
53312.v1 | 53312bi1 | \([0, -1, 0, 2287, 43345]\) | \(14000/17\) | \(-1605658492928\) | \([]\) | \(64512\) | \(1.0282\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 53312bi1 has rank \(2\).
Complex multiplication
The elliptic curves in class 53312bi do not have complex multiplication.Modular form 53312.2.a.bi
sage: E.q_eigenform(10)