Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 33800.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33800.a1 | 33800bd1 | \([0, 0, 0, 21125, -2746250]\) | \(270\) | \(-3861447200000000\) | \([]\) | \(259200\) | \(1.6737\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33800.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 33800.a do not have complex multiplication.Modular form 33800.2.a.a
sage: E.q_eigenform(10)