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SageMath
E = EllipticCurve("dg1")
E.isogeny_class()
Elliptic curves in class 254898.dg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
254898.dg1 | 254898dg1 | \([1, -1, 0, 231062382, 577688517972]\) | \(2280364702703/1560674304\) | \(-933725929595154057190047744\) | \([]\) | \(159805440\) | \(3.8637\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 254898.dg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 254898.dg do not have complex multiplication.Modular form 254898.2.a.dg
sage: E.q_eigenform(10)