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SageMath
E = EllipticCurve("cg1")
E.isogeny_class()
Elliptic curves in class 259182.cg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
259182.cg1 | 259182cg1 | \([1, -1, 0, -22776, 1328894]\) | \(-548643372651/81634\) | \(-194423044662\) | \([]\) | \(552960\) | \(1.1797\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 259182.cg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 259182.cg do not have complex multiplication.Modular form 259182.2.a.cg
sage: E.q_eigenform(10)