Show commands:
SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 25050.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25050.s1 | 25050m1 | \([1, 1, 1, -81588, 8948781]\) | \(-3843995587427449/6390046584\) | \(-99844477875000\) | \([]\) | \(141120\) | \(1.5821\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25050.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25050.s do not have complex multiplication.Modular form 25050.2.a.s
sage: E.q_eigenform(10)