Properties

Label 479808n
Number of curves $1$
Conductor $479808$
CM no
Rank $2$

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

Elliptic curves in class 479808n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
479808.n1 479808n1 \([0, 0, 0, -2604, 38864]\) \(208537/51\) \(477566337024\) \([]\) \(688128\) \(0.95166\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 479808n1 has rank \(2\).

Complex multiplication

The elliptic curves in class 479808n do not have complex multiplication.

Modular form 479808.2.a.n

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} - 6 q^{11} + q^{13} - q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display