Properties

Label 296208z
Number of curves $1$
Conductor $296208$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("z1")
 
E.isogeny_class()
 

Elliptic curves in class 296208z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
296208.z1 296208z1 \([0, 0, 0, -79668336, 360845834096]\) \(-87367919423488/37321507107\) \(-23888458747916529818185728\) \([]\) \(54574080\) \(3.5773\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 296208z1 has rank \(2\).

Complex multiplication

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

Modular form 296208.2.a.z

sage: E.q_eigenform(10)
 
\(q - 2 q^{5} - 3 q^{7} - 2 q^{13} - q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display