Show commands:
SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 466578.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
466578.s1 | 466578s1 | \([1, -1, 0, 16636422, -2113883066]\) | \(22099801941/12872686\) | \(-296608966842526071310458\) | \([]\) | \(63866880\) | \(3.1933\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 466578.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 466578.s do not have complex multiplication.Modular form 466578.2.a.s
sage: E.q_eigenform(10)