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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 9200.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9200.s1 | 9200q1 | \([0, 0, 0, -2001875, -1089168750]\) | \(22180666338225/24117248\) | \(964689920000000000\) | \([]\) | \(172800\) | \(2.3664\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9200.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9200.s do not have complex multiplication.Modular form 9200.2.a.s
sage: E.q_eigenform(10)