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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 400710m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
400710.m1 | 400710m1 | \([1, 1, 0, -38482, 2790196]\) | \(17458504922934721/679564235520\) | \(245322689022720\) | \([]\) | \(2522880\) | \(1.5285\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 400710m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 400710m do not have complex multiplication.Modular form 400710.2.a.m
sage: E.q_eigenform(10)