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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 25270x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 25270.q1 | 25270x1 | \([1, 1, 1, -3740870, -6108550233]\) | \(-17941516933339/39546534860\) | \(-12761180289110368075940\) | \([]\) | \(1805760\) | \(2.9304\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25270x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25270x do not have complex multiplication.Modular form 25270.2.a.x
sage: E.q_eigenform(10)