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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 9200p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9200.j1 | 9200p1 | \([0, 1, 0, -208, -1212]\) | \(1562500/23\) | \(14720000\) | \([]\) | \(3072\) | \(0.17860\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9200p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9200p do not have complex multiplication.Modular form 9200.2.a.p
sage: E.q_eigenform(10)