Show commands:
SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 33462v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33462.p1 | 33462v1 | \([1, -1, 0, -50985, 4422627]\) | \(703971110401/3897234\) | \(81144188299746\) | \([]\) | \(160512\) | \(1.5117\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33462v1 has rank \(2\).
Complex multiplication
The elliptic curves in class 33462v do not have complex multiplication.Modular form 33462.2.a.v
sage: E.q_eigenform(10)