Properties

Label 20286.c
Number of curves $1$
Conductor $20286$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 20286.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20286.c1 20286bg1 \([1, -1, 0, -86886, -34621182]\) \(-352263793/2313846\) \(-476477480023289766\) \([]\) \(338688\) \(2.0755\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20286.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 20286.c do not have complex multiplication.

Modular form 20286.2.a.c

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