Properties

Label 23120.a
Number of curves $1$
Conductor $23120$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 23120.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23120.a1 23120z1 \([0, 0, 0, -19363, -1155422]\) \(-2346853689/327680\) \(-112099988602880\) \([]\) \(138240\) \(1.4273\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23120.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 23120.a do not have complex multiplication.

Modular form 23120.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - q^{5} + q^{7} + 6 q^{9} - 2 q^{11} - 6 q^{13} + 3 q^{15} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display