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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 88725.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88725.t1 | 88725bs1 | \([1, 0, 0, -1415463, -2251556958]\) | \(-24606647689/157565625\) | \(-2008298763844775390625\) | \([]\) | \(4492800\) | \(2.7711\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88725.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88725.t do not have complex multiplication.Modular form 88725.2.a.t
sage: E.q_eigenform(10)