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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 95370u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
95370.u1 | 95370u1 | \([1, 1, 0, -827557, -352602611]\) | \(-2596717791529849/718080000000\) | \(-17332705547520000000\) | \([]\) | \(4064256\) | \(2.4074\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 95370u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 95370u do not have complex multiplication.Modular form 95370.2.a.u
sage: E.q_eigenform(10)