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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 94640.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
94640.t1 | 94640bs1 | \([0, -1, 0, -993776, 392363776]\) | \(-32485001809/1071875\) | \(-3581384157478400000\) | \([]\) | \(1797120\) | \(2.3350\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 94640.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 94640.t do not have complex multiplication.Modular form 94640.2.a.t
sage: E.q_eigenform(10)