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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 180336.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
180336.bc1 | 180336bn1 | \([0, -1, 0, -813920, -301746816]\) | \(-2086979041/171366\) | \(-4896389732902526976\) | \([]\) | \(3290112\) | \(2.3321\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 180336.bc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 180336.bc do not have complex multiplication.Modular form 180336.2.a.bc
sage: E.q_eigenform(10)