Properties

Label 281775.h
Number of curves $1$
Conductor $281775$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 281775.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
281775.h1 281775h1 \([0, 1, 1, -479258, -200779606]\) \(-32278933504/27421875\) \(-10342146873779296875\) \([]\) \(8870400\) \(2.3462\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 281775.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 281775.h do not have complex multiplication.

Modular form 281775.2.a.h

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + q^{3} + 2 q^{4} - 2 q^{6} - q^{7} + q^{9} - 5 q^{11} + 2 q^{12} + q^{13} + 2 q^{14} - 4 q^{16} - 2 q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display