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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 57498u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
57498.v1 | 57498u1 | \([1, 0, 0, 62261, 118860401]\) | \(7599023/1741824\) | \(-6118121012346491904\) | \([]\) | \(1864800\) | \(2.2840\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 57498u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 57498u do not have complex multiplication.Modular form 57498.2.a.u
sage: E.q_eigenform(10)