Properties

Label 100023.b
Number of curves $1$
Conductor $100023$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 100023.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
100023.b1 100023f1 \([1, 0, 0, -3856, 91619]\) \(6340767471859969/17718774381\) \(17718774381\) \([]\) \(69120\) \(0.83887\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 100023.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 100023.b do not have complex multiplication.

Modular form 100023.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} - q^{4} - q^{5} - q^{6} + q^{7} + 3 q^{8} + q^{9} + q^{10} + q^{11} - q^{12} - q^{13} - q^{14} - q^{15} - q^{16} - q^{17} - q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display