Show commands:
SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 33800s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33800.i1 | 33800s1 | \([0, -1, 0, -108, 337]\) | \(3328\) | \(42250000\) | \([]\) | \(6144\) | \(0.16854\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33800s1 has rank \(2\).
Complex multiplication
The elliptic curves in class 33800s do not have complex multiplication.Modular form 33800.2.a.s
sage: E.q_eigenform(10)