Properties

Label 32244c
Number of curves $1$
Conductor $32244$
CM no
Rank $3$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 32244c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32244.a1 32244c1 \([0, -1, 0, -30, 81]\) \(-192914176/24183\) \(-386928\) \([]\) \(13344\) \(-0.19363\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32244c1 has rank \(3\).

Complex multiplication

The elliptic curves in class 32244c do not have complex multiplication.

Modular form 32244.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{5} - 5 q^{7} + q^{9} - 4 q^{11} - 7 q^{13} + 4 q^{15} - 6 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display