Properties

Label 296208en
Number of curves $1$
Conductor $296208$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("en1")
 
E.isogeny_class()
 

Elliptic curves in class 296208en

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
296208.en1 296208en1 \([0, 0, 0, -11112519, 364458413]\) \(501633924352/290107737\) \(87767489076903831297168\) \([]\) \(20275200\) \(3.0919\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 296208en1 has rank \(0\).

Complex multiplication

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

Modular form 296208.2.a.en

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