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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 25857.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25857.m1 | 25857c1 | \([1, -1, 0, 1279890, 2933579299]\) | \(2307174311/38336139\) | \(-3852737520967297007019\) | \([]\) | \(1123200\) | \(2.8225\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25857.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25857.m do not have complex multiplication.Modular form 25857.2.a.m
sage: E.q_eigenform(10)