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SageMath
E = EllipticCurve("cg1")
E.isogeny_class()
Elliptic curves in class 139650.cg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
139650.cg1 | 139650ik1 | \([1, 1, 0, 26925, 7642125]\) | \(9393931/114912\) | \(-26404847437500000\) | \([]\) | \(1612800\) | \(1.8319\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 139650.cg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 139650.cg do not have complex multiplication.Modular form 139650.2.a.cg
sage: E.q_eigenform(10)