Show commands:
SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 3330j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3330.f1 | 3330j1 | \([1, -1, 0, -2529, -63747]\) | \(-2454365649169/1035763200\) | \(-755071372800\) | \([]\) | \(8064\) | \(0.98701\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3330j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3330j do not have complex multiplication.Modular form 3330.2.a.j
sage: E.q_eigenform(10)