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SageMath
E = EllipticCurve("dg1")
E.isogeny_class()
Elliptic curves in class 426888dg
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 426888.dg1 | 426888dg1 | \([0, 0, 0, 43197, 7807646]\) | \(68782/243\) | \(-31493138650896384\) | \([]\) | \(2592000\) | \(1.8487\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888dg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 426888dg do not have complex multiplication.Modular form 426888.2.a.dg
sage: E.q_eigenform(10)