Properties

Label 392784c
Number of curves $1$
Conductor $392784$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 392784c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
392784.c1 392784c1 \([0, -1, 0, -22752, 2098944]\) \(-55164193/48096\) \(-1135672806998016\) \([]\) \(2096640\) \(1.5861\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 392784c1 has rank \(2\).

Complex multiplication

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

Modular form 392784.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} + q^{9} - 3 q^{13} + 3 q^{15} + 2 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display