Properties

Label 81232c
Number of curves 1
Conductor 81232
CM no
Rank 2

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("81232.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 81232c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
81232.a1 81232c1 [0, 1, 0, -109, -473] [] 9600 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 81232c1 has rank \(2\).

Modular form 81232.2.a.a

sage: E.q_eigenform(10)
 
\( q + q^{3} - 2q^{5} - 2q^{9} - 4q^{11} - 2q^{13} - 2q^{15} - 6q^{17} + q^{19} + O(q^{20}) \)