Show commands:
SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 6600.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6600.v1 | 6600o1 | \([0, 1, 0, -88, -352]\) | \(-2977540/33\) | \(-844800\) | \([]\) | \(960\) | \(-0.047807\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6600.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6600.v do not have complex multiplication.Modular form 6600.2.a.v
sage: E.q_eigenform(10)