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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 97461t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
97461.d1 | 97461t1 | \([0, 0, 1, -1130871, 409817686]\) | \(776703004672/97144749\) | \(20004479641693958229\) | \([]\) | \(4741632\) | \(2.4331\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97461t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 97461t do not have complex multiplication.Modular form 97461.2.a.t
sage: E.q_eigenform(10)