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SageMath
E = EllipticCurve("dg1")
E.isogeny_class()
Elliptic curves in class 179520dg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
179520.a1 | 179520dg1 | \([0, -1, 0, -4496, -119514]\) | \(-157079401546816/7945131645\) | \(-508488425280\) | \([]\) | \(391680\) | \(1.0069\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 179520dg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 179520dg do not have complex multiplication.Modular form 179520.2.a.dg
sage: E.q_eigenform(10)