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SageMath
E = EllipticCurve("cg1")
E.isogeny_class()
Elliptic curves in class 20400.cg
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 20400.cg1 | 20400ds1 | \([0, 1, 0, 3562, -209997]\) | \(2498351450368/11079144171\) | \(-22158288342000\) | \([]\) | \(48384\) | \(1.2432\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20400.cg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 20400.cg do not have complex multiplication.Modular form 20400.2.a.cg
sage: E.q_eigenform(10)