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SageMath
E = EllipticCurve("dg1")
E.isogeny_class()
Elliptic curves in class 51600.dg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
51600.dg1 | 51600dd1 | \([0, 1, 0, 27409792, -53523566412]\) | \(56935209711531575/63898719879168\) | \(-2555948795166720000000000\) | \([]\) | \(7286400\) | \(3.3698\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 51600.dg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 51600.dg do not have complex multiplication.Modular form 51600.2.a.dg
sage: E.q_eigenform(10)