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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 3120m
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 3120.d1 | 3120m1 | \([0, -1, 0, -1061, 21261]\) | \(-32278933504/27421875\) | \(-112320000000\) | \([]\) | \(3360\) | \(0.81800\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3120m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3120m do not have complex multiplication.Modular form 3120.2.a.m
sage: E.q_eigenform(10)