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SageMath
E = EllipticCurve("cg1")
E.isogeny_class()
Elliptic curves in class 166410.cg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
166410.cg1 | 166410bg1 | \([1, -1, 1, -69215813, -221618116163]\) | \(116205924655827/5242880\) | \(1654555449728575733760\) | \([]\) | \(28896000\) | \(3.1480\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 166410.cg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 166410.cg do not have complex multiplication.Modular form 166410.2.a.cg
sage: E.q_eigenform(10)