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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 331056.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
331056.b1 | 331056b1 | \([0, 0, 0, -5767707, 8216574410]\) | \(-58730058813042529/46734803730432\) | \(-16885474518047442075648\) | \([]\) | \(27095040\) | \(2.9635\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331056.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 331056.b do not have complex multiplication.Modular form 331056.2.a.b
sage: E.q_eigenform(10)