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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 363726bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
363726.bc1 | 363726bc1 | \([1, -1, 0, -3553974, 2583400716]\) | \(-3843995587427449/6390046584\) | \(-8252540483653867896\) | \([]\) | \(11289600\) | \(2.5257\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 363726bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 363726bc do not have complex multiplication.Modular form 363726.2.a.bc
sage: E.q_eigenform(10)