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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 257600.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
257600.m1 | 257600m1 | \([0, 1, 0, -833, 690463]\) | \(-50/161\) | \(-206080000000000\) | \([]\) | \(737280\) | \(1.4256\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 257600.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 257600.m do not have complex multiplication.Modular form 257600.2.a.m
sage: E.q_eigenform(10)