Properties

Label 29624q
Number of curves $1$
Conductor $29624$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 29624q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
29624.b1 29624q1 \([0, 0, 0, 28037, 60835]\) \(1029037824/596183\) \(-1412103686586992\) \([]\) \(354816\) \(1.5964\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29624q1 has rank \(0\).

Complex multiplication

The elliptic curves in class 29624q do not have complex multiplication.

Modular form 29624.2.a.q

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + 4 q^{5} + q^{7} + 6 q^{9} - 2 q^{11} + 5 q^{13} - 12 q^{15} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display