Properties

Label 100800hg
Number of curves 1
Conductor 100800
CM no
Rank 1

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("100800.h1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 100800hg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
100800.h1 100800hg1 [0, 0, 0, -4500, -135000] [] 184320 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 100800hg1 has rank \(1\).

Modular form 100800.2.a.h

sage: E.q_eigenform(10)
 
\( q - q^{7} - 5q^{11} - 6q^{13} + 4q^{17} + 6q^{19} + O(q^{20}) \)