Properties

Label 91035bv
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 91035bv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
91035.v1 91035bv1 \([1, -1, 1, -4558307, -2343380844]\) \(172032746578729129/60555631504375\) \(3687039169281263289375\) \([]\) \(5054400\) \(2.8395\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

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

Modular form 91035.2.a.bv

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{4} + q^{5} + q^{7} + 3 q^{8} - q^{10} - 2 q^{11} + 2 q^{13} - q^{14} - q^{16} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display