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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 151725q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
151725.bd1 | 151725q1 | \([1, 0, 0, -4152081213, -102978949982958]\) | \(-72628961394279272329/24608375505\) | \(-2682219664686341917265625\) | \([]\) | \(81959040\) | \(4.0445\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 151725q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 151725q do not have complex multiplication.Modular form 151725.2.a.q
sage: E.q_eigenform(10)