Properties

Label 8036.b
Number of curves $1$
Conductor $8036$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands for: SageMath
sage: E = EllipticCurve("b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 8036.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8036.b1 8036c1 \([0, -1, 0, -1486, 11789]\) \(3937024/1681\) \(155050087696\) \([]\) \(4032\) \(0.84380\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8036.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 8036.b do not have complex multiplication.

Modular form 8036.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2q^{9} + 3q^{11} + 2q^{13} + q^{15} + q^{17} - 3q^{19} + O(q^{20})\)  Toggle raw display