Properties

Label 296208.c
Number of curves $1$
Conductor $296208$
CM no
Rank $1$

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

Elliptic curves in class 296208.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
296208.c1 296208c1 \([0, 0, 0, 15271773, 1155634957730]\) \(9010188470393231/13201960638001752\) \(-577160565784645966243135488\) \([]\) \(170726400\) \(3.8140\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 296208.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 296208.c do not have complex multiplication.

Modular form 296208.2.a.c

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