Properties

Label 334620.bv
Number of curves $1$
Conductor $334620$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bv1")
 
E.isogeny_class()
 

Elliptic curves in class 334620.bv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
334620.bv1 334620bv1 \([0, 0, 0, -210912, -26247559]\) \(2944401408/859375\) \(302840030171250000\) \([]\) \(3564288\) \(2.0604\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 334620.bv1 has rank \(1\).

Complex multiplication

The elliptic curves in class 334620.bv do not have complex multiplication.

Modular form 334620.2.a.bv

sage: E.q_eigenform(10)
 
\(q + q^{5} + q^{7} - q^{11} - 6 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display