Show commands:
SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 66800v
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 66800.p1 | 66800v1 | \([0, 1, 0, -260704207208, 51235318074689588]\) | \(-1224751130206834971784807336585/61328559574089728\) | \(-98125695318543564800000000\) | \([]\) | \(184440960\) | \(4.9096\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66800v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 66800v do not have complex multiplication.Modular form 66800.2.a.v
sage: E.q_eigenform(10)