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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 236691bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
236691.bc1 | 236691bc1 | \([0, 0, 1, -37281, 40459783]\) | \(-325660672/40000779\) | \(-703865219548196979\) | \([]\) | \(5087232\) | \(2.1041\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 236691bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 236691bc do not have complex multiplication.Modular form 236691.2.a.bc
sage: E.q_eigenform(10)