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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 219351.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
219351.b1 | 219351b1 | \([0, -1, 1, -39289068, -93341576158]\) | \(277872376393220608000/4828135850131077\) | \(116539462223912530131813\) | \([]\) | \(35223552\) | \(3.2229\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 219351.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 219351.b do not have complex multiplication.Modular form 219351.2.a.b
sage: E.q_eigenform(10)