Properties

Label 230384.n
Number of curves $1$
Conductor $230384$
CM no
Rank $1$

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

Elliptic curves in class 230384.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
230384.n1 230384n1 \([0, 1, 0, -722, 1483]\) \(21529370368/11796113\) \(22837274768\) \([]\) \(152064\) \(0.67835\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 230384.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 230384.n do not have complex multiplication.

Modular form 230384.2.a.n

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + 2 q^{5} - q^{7} + q^{9} - 5 q^{13} - 4 q^{15} - q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display