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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 15600.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15600.i1 | 15600k1 | \([0, -1, 0, -6113, -182403]\) | \(-789601498112/2302911\) | \(-73693152000\) | \([]\) | \(19712\) | \(0.95593\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15600.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 15600.i do not have complex multiplication.Modular form 15600.2.a.i
sage: E.q_eigenform(10)