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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 58800.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58800.t1 | 58800j1 | \([0, -1, 0, 48592, 1473312]\) | \(68782/45\) | \(-8301313440000000\) | \([]\) | \(322560\) | \(1.7434\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 58800.t do not have complex multiplication.Modular form 58800.2.a.t
sage: E.q_eigenform(10)