Properties

Label 6672.c
Number of curves $1$
Conductor $6672$
CM no
Rank $1$

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

Elliptic curves in class 6672.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6672.c1 6672j1 \([0, -1, 0, -21, -36]\) \(-67108864/11259\) \(-180144\) \([]\) \(576\) \(-0.26466\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6672.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 6672.c do not have complex multiplication.

Modular form 6672.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + 3 q^{7} + q^{9} - 3 q^{11} + q^{13} + q^{15} - 6 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display