Properties

Label 392784l
Number of curves $1$
Conductor $392784$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 392784l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
392784.l1 392784l1 \([0, -1, 0, 96, 2304]\) \(482447/12024\) \(-2413264896\) \([]\) \(207360\) \(0.48053\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 392784l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 392784l do not have complex multiplication.

Modular form 392784.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{5} + q^{9} + 2 q^{11} + q^{13} + 2 q^{15} - 8 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display