Properties

Label 97020e
Number of curves $1$
Conductor $97020$
CM no
Rank $1$

Related objects

Downloads

Learn more about

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

Elliptic curves in class 97020e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
97020.h1 97020e1 [0, 0, 0, -21168, 1177092] [] 224640 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97020e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 97020e do not have complex multiplication.

Modular form 97020.2.a.e

sage: E.q_eigenform(10)
 
\( q - q^{5} - q^{11} + q^{13} + 6q^{17} + 2q^{19} + O(q^{20}) \)