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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 40310.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40310.m1 | 40310b1 | \([1, 1, 0, -1308, 17648]\) | \(247779650941129/403100000\) | \(403100000\) | \([]\) | \(24400\) | \(0.54801\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40310.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 40310.m do not have complex multiplication.Modular form 40310.2.a.m
sage: E.q_eigenform(10)