Properties

Label 334620.n
Number of curves $1$
Conductor $334620$
CM no
Rank $1$

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

Elliptic curves in class 334620.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
334620.n1 334620n1 \([0, 0, 0, -1248, -11947]\) \(2944401408/859375\) \(62741250000\) \([]\) \(274176\) \(0.77788\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 334620.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 334620.n do not have complex multiplication.

Modular form 334620.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{7} + q^{11} - 6 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display