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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 63175m
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 63175.f1 | 63175m1 | \([0, 0, 1, -875425, 315299656]\) | \(-100934332416/12635\) | \(-9287886038046875\) | \([]\) | \(2004480\) | \(2.0865\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63175m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 63175m do not have complex multiplication.Modular form 63175.2.a.m
sage: E.q_eigenform(10)