Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 392784b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
392784.b1 392784b1 \([0, -1, 0, -2796152, 1792006224]\) \(10034321309852114/55245634227\) \(13311167736160917504\) \([]\) \(11059200\) \(2.5126\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 392784b1 has rank \(1\).

Complex multiplication

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

Modular form 392784.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} + q^{9} - 4 q^{13} + 3 q^{15} + 2 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display