Properties

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

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 296208.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
296208.q1 296208q1 \([0, 0, 0, -99, 5346]\) \(-297/34\) \(-12284338176\) \([]\) \(184320\) \(0.61545\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 296208.q1 has rank \(2\).

Complex multiplication

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

Modular form 296208.2.a.q

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} + q^{7} - 4 q^{13} - q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display