↑

Properties

Label 185220011.a
Number of curves $1$
Conductor $185220011$
CM no
Rank $5$

Related objects

Downloads

Learn more

Show commands: SageMath
Copy content sage:E = EllipticCurve("a1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 185220011.a1 has rank \(5\).

Complex multiplication

The elliptic curves in class 185220011.a do not have complex multiplication.

Modular form 185220011.2.a.a

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

Elliptic curves in class 185220011.a

Copy content sage:E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
185220011.a1 \([0, -1, 1, -482, 4290]\) \(-12409821687808/185220011\) \(-185220011\) \([]\) \(\) \(0.38988\)