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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 376712.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
376712.b1 | 376712b1 | \([0, 0, 0, -329623, 71528191]\) | \(48384\) | \(81860513723719696\) | \([]\) | \(5155920\) | \(2.0356\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 376712.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 376712.b do not have complex multiplication.Modular form 376712.2.a.b
sage: E.q_eigenform(10)