Properties

Label 185150.be
Number of curves $1$
Conductor $185150$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 185150.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
185150.be1 185150cs1 \([1, -1, 0, -2376367, -1523845459]\) \(-1026590625/100352\) \(-145075171220000000000\) \([]\) \(16727040\) \(2.6096\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 185150.be1 has rank \(0\).

Complex multiplication

The elliptic curves in class 185150.be do not have complex multiplication.

Modular form 185150.2.a.be

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