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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 327990.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
327990.f1 | 327990f1 | \([1, 1, 0, 735858, -382549854]\) | \(74082708125999/149327343750\) | \(-88823386525483593750\) | \([]\) | \(12579840\) | \(2.5122\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 327990.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 327990.f do not have complex multiplication.Modular form 327990.2.a.f
sage: E.q_eigenform(10)