Properties

Label 23120n
Number of curves $1$
Conductor $23120$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 23120n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23120.k1 23120n1 \([0, 1, 0, 758240, -2525100]\) \(3374596798/1953125\) \(-27903029764000000000\) \([]\) \(660960\) \(2.4207\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23120n1 has rank \(1\).

Complex multiplication

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

Modular form 23120.2.a.n

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{5} + 3 q^{7} + q^{9} - 5 q^{11} - 3 q^{13} - 2 q^{15} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display