Properties

Label 20216.e
Number of curves $1$
Conductor $20216$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 20216.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20216.e1 20216a1 \([0, -1, 0, -120, -107]\) \(92416/49\) \(102171664\) \([]\) \(2880\) \(0.22831\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20216.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 20216.e do not have complex multiplication.

Modular form 20216.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - q^{7} - 2 q^{9} + q^{13} - q^{15} + 5 q^{17} + O(q^{20})\) Copy content Toggle raw display