Properties

Label 46090.b
Number of curves $1$
Conductor $46090$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 46090.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
46090.b1 46090b1 \([1, 1, 0, -227, -9491]\) \(-1302528459961/37387470560\) \(-37387470560\) \([]\) \(33600\) \(0.70919\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 46090.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 46090.b do not have complex multiplication.

Modular form 46090.2.a.b

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