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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 455175m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
455175.m1 | 455175m1 | \([0, 0, 1, -1842375, 1265865156]\) | \(-348160/147\) | \(-292009021347610546875\) | \([]\) | \(28788480\) | \(2.6348\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 455175m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 455175m do not have complex multiplication.Modular form 455175.2.a.m
sage: E.q_eigenform(10)