Properties

Label 296208p
Number of curves $1$
Conductor $296208$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 296208p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
296208.p1 296208p1 \([0, 0, 0, 556116, 62125756]\) \(57530252288/38336139\) \(-12674533266849712896\) \([]\) \(5491200\) \(2.3543\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 296208p1 has rank \(1\).

Complex multiplication

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

Modular form 296208.2.a.p

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