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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 123210v
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 123210.l1 | 123210v1 | \([1, -1, 0, -5640, -107200]\) | \(19882608489/6400000\) | \(6387206400000\) | \([]\) | \(221760\) | \(1.1606\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 123210v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 123210v do not have complex multiplication.Modular form 123210.2.a.v
sage: E.q_eigenform(10)