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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 9555m
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 9555.u1 | 9555m1 | \([0, -1, 1, -3250, 113133]\) | \(-32278933504/27421875\) | \(-3226156171875\) | \([]\) | \(31752\) | \(1.0978\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9555m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9555m do not have complex multiplication.Modular form 9555.2.a.m
sage: E.q_eigenform(10)