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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 931.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
931.b1 | 931c1 | \([0, 1, 1, -2, -3]\) | \(-28672/19\) | \(-931\) | \([]\) | \(78\) | \(-0.72947\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 931.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 931.b do not have complex multiplication.Modular form 931.2.a.b
sage: E.q_eigenform(10)