Properties

Label 2368.f
Number of curves $1$
Conductor $2368$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 2368.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2368.f1 2368k1 \([0, -1, 0, -133, -547]\) \(16000000/37\) \(606208\) \([]\) \(256\) \(-0.0095941\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2368.f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2368.f do not have complex multiplication.

Modular form 2368.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{3} + 3 q^{7} - 2 q^{9} - 3 q^{11} + 2 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display