Show commands:
SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 346560.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
346560.s1 | 346560s1 | \([0, -1, 0, -11311, 307465]\) | \(19189812736/6328125\) | \(52780005000000\) | \([]\) | \(838656\) | \(1.3360\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 346560.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 346560.s do not have complex multiplication.Modular form 346560.2.a.s
sage: E.q_eigenform(10)