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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 43560.bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43560.bi1 | 43560co1 | \([0, 0, 0, 33, -209]\) | \(2816/15\) | \(-21170160\) | \([]\) | \(7680\) | \(0.087790\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43560.bi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 43560.bi do not have complex multiplication.Modular form 43560.2.a.bi
sage: E.q_eigenform(10)