Properties

Label 6672.n
Number of curves $1$
Conductor $6672$
CM no
Rank $1$

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

Elliptic curves in class 6672.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6672.n1 6672n1 \([0, 1, 0, 32, 116]\) \(857375/1668\) \(-6832128\) \([]\) \(1152\) \(-0.0040244\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6672.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 6672.n do not have complex multiplication.

Modular form 6672.2.a.n

sage: E.q_eigenform(10)
 
\(q + q^{3} + 2 q^{7} + q^{9} + 5 q^{11} - 5 q^{13} - 3 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display