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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

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Level Weight Analytic conductor Analytic rank Dim.
Bad \(p\) Char. Primitive character Character order Is maximal/largest
Coefficient field Self-twists CM/RM discriminant Inner twist count Is self-dual
Coefficient ring index Coefficient ring gens. Is twist minimal Projective image
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Results (16 matches)

  displayed columns for results
Label Char Prim Dim $A$ Field CM Minimal twist Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3 5 11
3960.2.a.b 3960.a 1.a $1$ $31.621$ \(\Q\) None 1320.2.a.e \(0\) \(0\) \(-1\) \(-4\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-4q^{7}+q^{11}+2q^{13}-6q^{17}+\cdots\)
3960.2.a.c 3960.a 1.a $1$ $31.621$ \(\Q\) None 1320.2.a.g \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{11}-6q^{13}+6q^{17}+q^{25}+\cdots\)
3960.2.a.d 3960.a 1.a $1$ $31.621$ \(\Q\) None 1320.2.a.n \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+q^{11}-2q^{13}-2q^{17}+4q^{19}+\cdots\)
3960.2.a.e 3960.a 1.a $1$ $31.621$ \(\Q\) None 1320.2.a.f \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+q^{11}-2q^{13}+6q^{17}-4q^{19}+\cdots\)
3960.2.a.h 3960.a 1.a $1$ $31.621$ \(\Q\) None 3960.2.a.h \(0\) \(0\) \(-1\) \(4\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{7}+q^{11}-4q^{13}+2q^{17}+\cdots\)
3960.2.a.j 3960.a 1.a $1$ $31.621$ \(\Q\) None 440.2.a.b \(0\) \(0\) \(1\) \(-2\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}-q^{11}-4q^{13}+4q^{17}+\cdots\)
3960.2.a.l 3960.a 1.a $1$ $31.621$ \(\Q\) None 1320.2.a.b \(0\) \(0\) \(1\) \(-2\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}-q^{11}+4q^{13}-4q^{19}+\cdots\)
3960.2.a.o 3960.a 1.a $1$ $31.621$ \(\Q\) None 1320.2.a.j \(0\) \(0\) \(1\) \(-2\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}+q^{11}-4q^{17}+4q^{19}+\cdots\)
3960.2.a.p 3960.a 1.a $1$ $31.621$ \(\Q\) None 440.2.a.a \(0\) \(0\) \(1\) \(-2\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}+q^{11}-8q^{19}+8q^{23}+\cdots\)
3960.2.a.q 3960.a 1.a $1$ $31.621$ \(\Q\) None 1320.2.a.l \(0\) \(0\) \(1\) \(2\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{7}-q^{11}-4q^{17}-4q^{19}+\cdots\)
3960.2.a.r 3960.a 1.a $1$ $31.621$ \(\Q\) None 1320.2.a.c \(0\) \(0\) \(1\) \(2\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{7}+q^{11}-4q^{13}-4q^{19}+\cdots\)
3960.2.a.v 3960.a 1.a $2$ $31.621$ \(\Q(\sqrt{6}) \) None 3960.2.a.v \(0\) \(0\) \(-2\) \(-4\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+(-2+\beta )q^{7}+q^{11}+\beta q^{13}+\cdots\)
3960.2.a.x 3960.a 1.a $2$ $31.621$ \(\Q(\sqrt{2}) \) None 1320.2.a.q \(0\) \(0\) \(-2\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+\beta q^{7}-q^{11}+(2-\beta )q^{13}+(-2+\cdots)q^{17}+\cdots\)
3960.2.a.bb 3960.a 1.a $2$ $31.621$ \(\Q(\sqrt{2}) \) None 3960.2.a.u \(0\) \(0\) \(2\) \(-4\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+(-2+\beta )q^{7}+q^{11}+\beta q^{13}+\cdots\)
3960.2.a.bd 3960.a 1.a $2$ $31.621$ \(\Q(\sqrt{2}) \) None 3960.2.a.y \(0\) \(0\) \(2\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}+\beta q^{7}-q^{11}+(-2+\beta )q^{13}+\cdots\)
3960.2.a.bg 3960.a 1.a $3$ $31.621$ 3.3.1016.1 None 3960.2.a.bg \(0\) \(0\) \(-3\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+\beta _{2}q^{7}-q^{11}+(1-\beta _{1}-\beta _{2})q^{13}+\cdots\)
  displayed columns for results