Properties

Label 142956.o
Number of curves $1$
Conductor $142956$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 142956.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
142956.o1 142956bc1 \([0, 0, 0, -1296351, 570024054]\) \(-2815344/11\) \(-941353519282184448\) \([]\) \(1575936\) \(2.3068\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 142956.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 142956.o do not have complex multiplication.

Modular form 142956.2.a.o

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