Properties

Label 22481.b
Number of curves $1$
Conductor $22481$
CM no
Rank $3$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 22481.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22481.b1 22481a1 \([1, -1, 1, 6, 2]\) \(27818127/22481\) \(-22481\) \([]\) \(2152\) \(-0.47712\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22481.b1 has rank \(3\).

Complex multiplication

The elliptic curves in class 22481.b do not have complex multiplication.

Modular form 22481.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{4} - 3 q^{5} - 4 q^{7} + 3 q^{8} - 3 q^{9} + 3 q^{10} - 5 q^{11} - 5 q^{13} + 4 q^{14} - q^{16} - 6 q^{17} + 3 q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display