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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 162288.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162288.t1 | 162288h1 | \([0, 0, 0, -1390179, 2217145826]\) | \(-352263793/2313846\) | \(-1951651758175394881536\) | \([]\) | \(8128512\) | \(2.7687\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162288.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 162288.t do not have complex multiplication.Modular form 162288.2.a.t
sage: E.q_eigenform(10)