Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ca1")
 
E.isogeny_class()
 

Elliptic curves in class 185150.ca

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
185150.ca1 185150l1 \([1, -1, 1, 486845, -31480253]\) \(137927116575/84410368\) \(-7809852417310720000\) \([]\) \(3852288\) \(2.3143\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 185150.ca1 has rank \(1\).

Complex multiplication

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

Modular form 185150.2.a.ca

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