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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 39039m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
39039.x1 | 39039m1 | \([0, -1, 1, 7380, -1564873]\) | \(9208180736/223810587\) | \(-1080290955626883\) | \([]\) | \(399168\) | \(1.5649\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 39039m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 39039m do not have complex multiplication.Modular form 39039.2.a.m
sage: E.q_eigenform(10)