Properties

Label 32276b
Number of curves $1$
Conductor $32276$
CM no
Rank $3$

Related objects

Downloads

Learn more

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

Elliptic curves in class 32276b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32276.a1 32276b1 \([0, 1, 0, -17, 16]\) \(35995648/8069\) \(129104\) \([]\) \(5136\) \(-0.30630\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32276b1 has rank \(3\).

Complex multiplication

The elliptic curves in class 32276b do not have complex multiplication.

Modular form 32276.2.a.b

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} - 3 q^{5} - 4 q^{7} + q^{9} - 6 q^{11} - 5 q^{13} + 6 q^{15} - 2 q^{17} + O(q^{20})\) Copy content Toggle raw display