Properties

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

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 23120.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23120.g1 23120m1 \([0, 1, 0, -385, -2997]\) \(295936/5\) \(106906880\) \([]\) \(8640\) \(0.33852\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23120.g1 has rank \(1\).

Complex multiplication

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

Modular form 23120.2.a.g

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