Properties

Label 207576.b
Number of curves $1$
Conductor $207576$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 207576.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
207576.b1 207576x1 \([0, 0, 0, -11532, -595820]\) \(-3072\) \(-55209828987648\) \([]\) \(725760\) \(1.3494\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 207576.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 207576.b do not have complex multiplication.

Modular form 207576.2.a.b

sage: E.q_eigenform(10)
 
\(q - 4 q^{5} - 3 q^{7} + 4 q^{11} - q^{13} - 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display