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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 468270.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
468270.m1 | 468270m1 | \([1, -1, 0, -97125, 11295125]\) | \(9493384124961/352256000\) | \(3759730089984000\) | \([]\) | \(3244032\) | \(1.7576\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 468270.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 468270.m do not have complex multiplication.Modular form 468270.2.a.m
sage: E.q_eigenform(10)