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SageMath
E = EllipticCurve("cg1")
E.isogeny_class()
Elliptic curves in class 179088cg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
179088.p1 | 179088cg1 | \([0, -1, 0, -1041, 171549]\) | \(-487812649984/49178493819\) | \(-12589694417664\) | \([]\) | \(294912\) | \(1.1932\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 179088cg1 has rank \(2\).
Complex multiplication
The elliptic curves in class 179088cg do not have complex multiplication.Modular form 179088.2.a.cg
sage: E.q_eigenform(10)