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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 257754t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
257754.t1 | 257754t1 | \([1, 0, 1, -15325584270, 4805543586792352]\) | \(-23439374927166990900760633/573844026377336511607776\) | \(-9745916197680761498561691961806816\) | \([]\) | \(2118758400\) | \(5.2025\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 257754t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 257754t do not have complex multiplication.Modular form 257754.2.a.t
sage: E.q_eigenform(10)