Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("cb1")
 
E.isogeny_class()
 

Elliptic curves in class 185150cb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
185150.n1 185150cb1 \([1, -1, 0, 141673, -413871209]\) \(84972077055/20040095362\) \(-74166333313961170450\) \([]\) \(4257792\) \(2.4919\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 185150cb1 has rank \(0\).

Complex multiplication

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

Modular form 185150.2.a.cb

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