Properties

Label 310464br
Number of curves $1$
Conductor $310464$
CM no
Rank $2$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("br1")
 
E.isogeny_class()
 

Elliptic curves in class 310464br

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
310464.br1 310464br1 \([0, 0, 0, -2618364, 1630899144]\) \(-610325920583424/55240493\) \(-179684041262939136\) \([]\) \(5898240\) \(2.3503\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 310464br1 has rank \(2\).

Complex multiplication

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

Modular form 310464.2.a.br

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} + q^{11} - 3 q^{13} - 6 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display