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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 259920.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
259920.t1 | 259920t1 | \([0, 0, 0, -69529683, 242534939618]\) | \(-2932095879364/307546875\) | \(-3899129065663138992000000\) | \([]\) | \(47278080\) | \(3.4575\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 259920.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 259920.t do not have complex multiplication.Modular form 259920.2.a.t
sage: E.q_eigenform(10)