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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 25410.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25410.l1 | 25410o1 | \([1, 1, 0, -156697, 37222981]\) | \(-1985037003961/1653372000\) | \(-354414971796732000\) | \([]\) | \(475200\) | \(2.0653\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25410.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 25410.l do not have complex multiplication.Modular form 25410.2.a.l
sage: E.q_eigenform(10)