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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 111600bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
111600.ba1 | 111600bc1 | \([0, 0, 0, -2595, -67390]\) | \(-51777170/22599\) | \(-843503155200\) | \([]\) | \(129024\) | \(0.99567\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 111600bc1 has rank \(2\).
Complex multiplication
The elliptic curves in class 111600bc do not have complex multiplication.Modular form 111600.2.a.bc
sage: E.q_eigenform(10)