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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 5775.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5775.m1 | 5775h1 | \([0, -1, 1, 13617, 314543]\) | \(17869652393984/13156171875\) | \(-205565185546875\) | \([]\) | \(18816\) | \(1.4347\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5775.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5775.m do not have complex multiplication.Modular form 5775.2.a.m
sage: E.q_eigenform(10)