Properties

Label 151725x
Number of curves $1$
Conductor $151725$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 151725x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
151725.bc1 151725x1 \([1, 0, 0, 42477, -7046928]\) \(48601895/151263\) \(-26379349944949575\) \([]\) \(954720\) \(1.8342\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 151725x1 has rank \(1\).

Complex multiplication

The elliptic curves in class 151725x do not have complex multiplication.

Modular form 151725.2.a.x

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} - q^{4} - q^{6} - q^{7} + 3 q^{8} + q^{9} + q^{11} - q^{12} - 4 q^{13} + q^{14} - q^{16} - q^{18} + O(q^{20})\) Copy content Toggle raw display