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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 25410i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25410.i1 | 25410i1 | \([1, 1, 0, 1692, -22392]\) | \(2496791/2520\) | \(-540184380120\) | \([]\) | \(44352\) | \(0.93815\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25410i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 25410i do not have complex multiplication.Modular form 25410.2.a.i
sage: E.q_eigenform(10)