Properties

Label 84966.l
Number of curves $1$
Conductor $84966$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 84966.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
84966.l1 84966a1 \([1, 1, 0, 122, 526]\) \(16807/18\) \(-212330034\) \([]\) \(39936\) \(0.28445\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 84966.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 84966.l do not have complex multiplication.

Modular form 84966.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} - q^{8} + q^{9} + q^{10} - 6 q^{11} - q^{12} + 4 q^{13} + q^{15} + q^{16} - q^{18} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display