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SageMath
E = EllipticCurve("bs1")
E.isogeny_class()
Elliptic curves in class 7056.bs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7056.bs1 | 7056bl1 | \([0, 0, 0, 1176, -3332]\) | \(401408/243\) | \(-108884466432\) | \([]\) | \(5760\) | \(0.80703\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7056.bs1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7056.bs do not have complex multiplication.Modular form 7056.2.a.bs
sage: E.q_eigenform(10)