Properties

Label 14700.n
Number of curves $1$
Conductor $14700$
CM no
Rank $1$

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

Elliptic curves in class 14700.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14700.n1 14700b1 \([0, -1, 0, 82, 2577]\) \(1280/63\) \(-2964754800\) \([]\) \(6912\) \(0.49724\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14700.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 14700.n do not have complex multiplication.

Modular form 14700.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} + q^{11} + 4 q^{13} + 2 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display