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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 10008b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10008.g1 | 10008b1 | \([0, 0, 0, -111, -862]\) | \(-810448/1251\) | \(-233466624\) | \([]\) | \(3584\) | \(0.29717\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10008b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 10008b do not have complex multiplication.Modular form 10008.2.a.b
sage: E.q_eigenform(10)