Properties

Label 179520dl
Number of curves $1$
Conductor $179520$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("dl1")
 
E.isogeny_class()
 

Elliptic curves in class 179520dl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
179520.i1 179520dl1 \([0, -1, 0, -2086721, 1160930145]\) \(-15333353550269455684/41038903125\) \(-2689525555200000\) \([]\) \(2611200\) \(2.1953\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 179520dl1 has rank \(1\).

Complex multiplication

The elliptic curves in class 179520dl do not have complex multiplication.

Modular form 179520.2.a.dl

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 3 q^{7} + q^{9} - q^{11} - q^{13} + q^{15} + q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display