Properties

Label 8372.c
Number of curves $1$
Conductor $8372$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 8372.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8372.c1 8372c1 \([0, 1, 0, -21, 7]\) \(4194304/2093\) \(535808\) \([]\) \(1584\) \(-0.20784\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8372.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 8372.c do not have complex multiplication.

Modular form 8372.2.a.c

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + 4 q^{5} + q^{7} + q^{9} + 5 q^{11} - q^{13} - 8 q^{15} + 5 q^{17} + O(q^{20})\) Copy content Toggle raw display