Properties

Label 310464.lz
Number of curves $1$
Conductor $310464$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("lz1")
 
E.isogeny_class()
 

Elliptic curves in class 310464.lz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
310464.lz1 310464lz1 \([0, 0, 0, -5292, -666792]\) \(-6912/77\) \(-182587151932416\) \([]\) \(589824\) \(1.4185\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 310464.lz1 has rank \(1\).

Complex multiplication

The elliptic curves in class 310464.lz do not have complex multiplication.

Modular form 310464.2.a.lz

sage: E.q_eigenform(10)
 
\(q + q^{5} + q^{11} - q^{13} + 2 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display