Properties

Label 91035.bv
Number of curves $1$
Conductor $91035$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 91035.bv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
91035.bv1 91035bb1 \([0, 0, 1, -250563, 38691103]\) \(1183744/245\) \(360066590589693645\) \([]\) \(1586304\) \(2.0839\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 91035.bv1 has rank \(1\).

Complex multiplication

The elliptic curves in class 91035.bv do not have complex multiplication.

Modular form 91035.2.a.bv

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} - q^{5} + q^{7} - 2 q^{10} - 3 q^{11} + 2 q^{14} - 4 q^{16} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display