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SageMath
E = EllipticCurve("cq1")
E.isogeny_class()
Elliptic curves in class 164730.cq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
164730.cq1 | 164730p1 | \([1, 1, 1, -45520685, -118323462013]\) | \(-5174410329260209/4691556000\) | \(-9458148279614908644000\) | \([]\) | \(20563200\) | \(3.1409\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 164730.cq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 164730.cq do not have complex multiplication.Modular form 164730.2.a.cq
sage: E.q_eigenform(10)