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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 191634t
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 191634.d1 | 191634t1 | \([1, 1, 0, -4297511, -926897031]\) | \(653937577/350892\) | \(4709903770657996291692\) | \([]\) | \(13500480\) | \(2.8498\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 191634t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 191634t do not have complex multiplication.Modular form 191634.2.a.t
sage: E.q_eigenform(10)