Properties

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

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 23120.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23120.s1 23120v1 \([0, 0, 0, -78608, 7683932]\) \(30081024/3125\) \(5580605952800000\) \([]\) \(73440\) \(1.7567\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23120.s1 has rank \(1\).

Complex multiplication

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

Modular form 23120.2.a.s

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