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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 24563i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
24563.i1 | 24563i1 | \([0, -1, 1, -4880, -169863]\) | \(-495616/203\) | \(-5265297194003\) | \([]\) | \(86592\) | \(1.1494\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 24563i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 24563i do not have complex multiplication.Modular form 24563.2.a.i
sage: E.q_eigenform(10)