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SageMath
E = EllipticCurve("dg1")
E.isogeny_class()
Elliptic curves in class 48400dg
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 48400.v1 | 48400dg1 | \([0, 1, 0, -86808, 9815188]\) | \(233551483825/8192\) | \(2537553920000\) | \([]\) | \(179712\) | \(1.4703\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 48400dg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 48400dg do not have complex multiplication.Modular form 48400.2.a.dg
sage: E.q_eigenform(10)