Properties

Label 20808.c
Number of curves $1$
Conductor $20808$
CM no
Rank $2$

Related objects

Downloads

Learn more

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

Elliptic curves in class 20808.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20808.c1 20808y1 \([0, 0, 0, -204, 1156]\) \(-27648\) \(-33958656\) \([]\) \(7168\) \(0.21670\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20808.c1 has rank \(2\).

Complex multiplication

The elliptic curves in class 20808.c do not have complex multiplication.

Modular form 20808.2.a.c

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