Properties

Label 47652.k
Number of curves $1$
Conductor $47652$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 47652.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
47652.k1 47652i1 \([0, 1, 0, -173761, 38917712]\) \(-5914624/3267\) \(-320483095427773872\) \([]\) \(1157328\) \(2.0625\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 47652.k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 47652.k do not have complex multiplication.

Modular form 47652.2.a.k

sage: E.q_eigenform(10)
 
\(q + q^{3} + 4 q^{5} - 3 q^{7} + q^{9} - q^{11} + 5 q^{13} + 4 q^{15} + 8 q^{17} + O(q^{20})\) Copy content Toggle raw display