Show commands:
SageMath
E = EllipticCurve("cb1")
E.isogeny_class()
Elliptic curves in class 15600.cb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15600.cb1 | 15600cj1 | \([0, 1, 0, -26533, 2604563]\) | \(-32278933504/27421875\) | \(-1755000000000000\) | \([]\) | \(80640\) | \(1.6227\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15600.cb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 15600.cb do not have complex multiplication.Modular form 15600.2.a.cb
sage: E.q_eigenform(10)