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SageMath
E = EllipticCurve("fj1")
E.isogeny_class()
Elliptic curves in class 346560.fj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
346560.fj1 | 346560fj1 | \([0, -1, 0, 735, 15777]\) | \(463391/1440\) | \(-136272936960\) | \([]\) | \(276480\) | \(0.81976\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 346560.fj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 346560.fj do not have complex multiplication.Modular form 346560.2.a.fj
sage: E.q_eigenform(10)