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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 376712bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
376712.bc1 | 376712bc1 | \([0, 1, 0, -15696, -708079]\) | \(12544\) | \(34094341409296\) | \([]\) | \(719280\) | \(1.3401\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 376712bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 376712bc do not have complex multiplication.Modular form 376712.2.a.bc
sage: E.q_eigenform(10)