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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 397800.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
397800.u1 | 397800u1 | \([0, 0, 0, -4402875, 3751213750]\) | \(-16185095420210/1057036149\) | \(-616463482096800000000\) | \([]\) | \(13977600\) | \(2.7419\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 397800.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 397800.u do not have complex multiplication.Modular form 397800.2.a.u
sage: E.q_eigenform(10)