Properties

Label 10008c
Number of curves 1
Conductor 10008
CM no
Rank 1

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("10008.d1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 10008c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
10008.d1 10008c1 [0, 0, 0, 117, 54] [] 2048 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10008c1 has rank \(1\).

Modular form 10008.2.a.d

sage: E.q_eigenform(10)
 
\( q - q^{5} + q^{7} + 3q^{11} - 5q^{13} + O(q^{20}) \)