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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 459680.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
459680.t1 | 459680t1 | \([0, 1, 0, 10760, -341912]\) | \(55742968/53125\) | \(-131289204800000\) | \([]\) | \(984960\) | \(1.3962\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 459680.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 459680.t do not have complex multiplication.Modular form 459680.2.a.t
sage: E.q_eigenform(10)