Properties

Label 6672.q
Number of curves $1$
Conductor $6672$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 6672.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6672.q1 6672e1 \([0, 1, 0, -31696, -2182588]\) \(-3439147732759876/24623433\) \(-25214395392\) \([]\) \(25344\) \(1.1741\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6672.q1 has rank \(0\).

Complex multiplication

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

Modular form 6672.2.a.q

sage: E.q_eigenform(10)
 
\(q + q^{3} + 4 q^{5} + 2 q^{7} + q^{9} - 5 q^{11} - q^{13} + 4 q^{15} - 5 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display