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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 39600.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
39600.s1 | 39600cu1 | \([0, 0, 0, -18000, 977500]\) | \(-238878720/14641\) | \(-39530700000000\) | \([]\) | \(115200\) | \(1.3636\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 39600.s1 has rank \(2\).
Complex multiplication
The elliptic curves in class 39600.s do not have complex multiplication.Modular form 39600.2.a.s
sage: E.q_eigenform(10)