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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 25230m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25230.j1 | 25230m1 | \([1, 0, 1, -20753, -1152412]\) | \(-1175277148105921/3317760\) | \(-2790236160\) | \([]\) | \(62400\) | \(1.0440\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25230m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 25230m do not have complex multiplication.Modular form 25230.2.a.m
sage: E.q_eigenform(10)