Show commands:
SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 152880.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
152880.s1 | 152880ef1 | \([0, -1, 0, 684, -1330020]\) | \(2817220784/60901334325\) | \(-763946337772800\) | \([]\) | \(552960\) | \(1.5347\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 152880.s1 has rank \(2\).
Complex multiplication
The elliptic curves in class 152880.s do not have complex multiplication.Modular form 152880.2.a.s
sage: E.q_eigenform(10)