Properties

Label 456304.l
Number of curves $1$
Conductor $456304$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 456304.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
456304.l1 456304l1 \([0, -1, 0, -20336, 1057984]\) \(4826809/316\) \(60893177430016\) \([]\) \(1257984\) \(1.3948\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 456304.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 456304.l do not have complex multiplication.

Modular form 456304.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + 3 q^{7} - 2 q^{9} - 4 q^{11} + 7 q^{13} + q^{15} - 4 q^{17} + O(q^{20})\) Copy content Toggle raw display