Properties

Label 23400.n
Number of curves $1$
Conductor $23400$
CM no
Rank $1$

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

Elliptic curves in class 23400.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23400.n1 23400q1 \([0, 0, 0, -900, -9180]\) \(17280000/2197\) \(10250323200\) \([]\) \(12096\) \(0.64997\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23400.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 23400.n do not have complex multiplication.

Modular form 23400.2.a.n

sage: E.q_eigenform(10)
 
\(q - 2 q^{7} + 2 q^{11} + q^{13} + 2 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display