Show commands:
SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 96330.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
96330.s1 | 96330p1 | \([1, 1, 0, 191643, 62665101]\) | \(954228173639/2626560000\) | \(-2142565682549760000\) | \([]\) | \(1557504\) | \(2.2009\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96330.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 96330.s do not have complex multiplication.Modular form 96330.2.a.s
sage: E.q_eigenform(10)