Show commands:
SageMath
E = EllipticCurve("ex1")
E.isogeny_class()
Elliptic curves in class 100800.ex
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100800.ex1 | 100800ld1 | \([0, 0, 0, -16950, 850250]\) | \(-738763264/875\) | \(-637875000000\) | \([]\) | \(138240\) | \(1.1767\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100800.ex1 has rank \(1\).
Complex multiplication
The elliptic curves in class 100800.ex do not have complex multiplication.Modular form 100800.2.a.ex
sage: E.q_eigenform(10)