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SageMath
E = EllipticCurve("cg1")
E.isogeny_class()
Elliptic curves in class 39984cg
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 39984.p1 | 39984cg1 | \([0, -1, 0, -11444456, -14935855248]\) | \(-344002044213921241/1011143540736\) | \(-487260268232907423744\) | \([]\) | \(2350080\) | \(2.8399\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 39984cg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 39984cg do not have complex multiplication.Modular form 39984.2.a.cg
sage: E.q_eigenform(10)