Properties

Label 29575.j
Number of curves $1$
Conductor $29575$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 29575.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
29575.j1 29575p1 \([0, -1, 1, -1083, -13557]\) \(-425984/7\) \(-2310546875\) \([]\) \(14880\) \(0.59655\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29575.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 29575.j do not have complex multiplication.

Modular form 29575.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{4} - q^{7} - 2 q^{9} - 5 q^{11} + 2 q^{12} + 4 q^{16} + 6 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display