Show commands:
SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 52800.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
52800.s1 | 52800fd1 | \([0, -1, 0, -2180123, 1239722157]\) | \(-716220782494793351680/5787689787\) | \(-9260303659200\) | \([]\) | \(506880\) | \(2.0774\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 52800.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 52800.s do not have complex multiplication.Modular form 52800.2.a.s
sage: E.q_eigenform(10)