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SageMath
E = EllipticCurve("cg1")
E.isogeny_class()
Elliptic curves in class 147136cg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
147136.b1 | 147136cg1 | \([0, 0, 0, -346060, 80349808]\) | \(-81563625/2432\) | \(-136661119426101248\) | \([]\) | \(3193344\) | \(2.0663\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 147136cg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 147136cg do not have complex multiplication.Modular form 147136.2.a.cg
sage: E.q_eigenform(10)