Properties

Label 920.a
Number of curves $1$
Conductor $920$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 920.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
920.a1 920b1 \([0, 0, 0, -187, 991]\) \(-45198971136/359375\) \(-5750000\) \([]\) \(288\) \(0.12527\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 920.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 920.a do not have complex multiplication.

Modular form 920.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + q^{5} - 2 q^{7} + 6 q^{9} + q^{13} - 3 q^{15} + O(q^{20})\) Copy content Toggle raw display