Properties

Label 279864n
Number of curves $1$
Conductor $279864$
CM no
Rank $1$

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

Elliptic curves in class 279864n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
279864.n1 279864n1 \([0, 0, 0, -6591, -213109]\) \(-562432/23\) \(-1294897704048\) \([]\) \(423360\) \(1.0917\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 279864n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 279864n do not have complex multiplication.

Modular form 279864.2.a.n

sage: E.q_eigenform(10)
 
\(q - 2 q^{5} + 4 q^{7} - 2 q^{11} + 4 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display