Learn more

Refine search


Results (1-50 of 1311 matches)

Next   displayed columns for results
Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
39.1.d.a 39.d 39.d $1$ $0.019$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-39}) \) \(\Q(\sqrt{13}) \) \(0\) \(-1\) \(0\) \(0\) \(q-q^{3}-q^{4}+q^{9}+q^{12}-q^{13}+q^{16}+\cdots\)
55.1.d.a 55.d 55.d $1$ $0.027$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-55}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(-1\) \(0\) \(q-q^{4}-q^{5}+q^{9}-q^{11}+q^{16}+q^{20}+\cdots\)
56.1.h.a 56.h 56.h $1$ $0.028$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-14}) \) \(\Q(\sqrt{2}) \) \(-1\) \(0\) \(0\) \(-1\) \(q-q^{2}+q^{4}-q^{7}-q^{8}-q^{9}+q^{14}+\cdots\)
63.1.d.a 63.d 7.b $1$ $0.031$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-7}) \) \(\Q(\sqrt{21}) \) \(0\) \(0\) \(0\) \(-1\) \(q-q^{4}-q^{7}+q^{16}+q^{25}+q^{28}-2q^{37}+\cdots\)
68.1.d.a 68.d 68.d $1$ $0.034$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-17}) \) \(\Q(\sqrt{17}) \) \(-1\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}-q^{8}-q^{9}-2q^{13}+q^{16}+\cdots\)
80.1.h.a 80.h 20.d $1$ $0.040$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-5}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(-1\) \(0\) \(q-q^{5}-q^{9}+q^{25}+2q^{29}-2q^{41}+\cdots\)
95.1.d.a 95.d 95.d $1$ $0.047$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-95}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(1\) \(0\) \(q-q^{4}+q^{5}-q^{9}-2q^{11}+q^{16}+q^{19}+\cdots\)
111.1.d.a 111.d 111.d $1$ $0.055$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-111}) \) \(\Q(\sqrt{37}) \) \(0\) \(1\) \(0\) \(-2\) \(q+q^{3}-q^{4}-2q^{7}+q^{9}-q^{12}+q^{16}+\cdots\)
120.1.i.a 120.i 120.i $2$ $0.060$ \(\Q(\sqrt{-1}) \) $D_{2}$ \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-6}) \) \(\Q(\sqrt{10}) \) \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}-iq^{3}-q^{4}+iq^{5}-q^{6}+iq^{8}+\cdots\)
128.1.d.a 128.d 8.d $1$ $0.064$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-2}) \) \(\Q(\sqrt{2}) \) \(0\) \(0\) \(0\) \(0\) \(q-q^{9}-2q^{17}+q^{25}+2q^{41}+q^{49}+\cdots\)
136.1.e.a 136.e 136.e $1$ $0.068$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-34}) \) \(\Q(\sqrt{17}) \) \(-1\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}-q^{8}+q^{9}+q^{16}-q^{17}+\cdots\)
144.1.g.a 144.g 4.b $1$ $0.072$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{3}) \) \(0\) \(0\) \(0\) \(0\) \(q-2q^{13}-q^{25}+2q^{37}+q^{49}+2q^{61}+\cdots\)
155.1.c.a 155.c 155.c $1$ $0.077$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-31}) \), \(\Q(\sqrt{-155}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(-1\) \(0\) \(q+q^{4}-q^{5}-q^{9}+q^{16}-2q^{19}-q^{20}+\cdots\)
164.1.d.a 164.d 164.d $1$ $0.082$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-41}) \) \(\Q(\sqrt{41}) \) \(1\) \(0\) \(-2\) \(0\) \(q+q^{2}+q^{4}-2q^{5}+q^{8}-q^{9}-2q^{10}+\cdots\)
171.1.c.a 171.c 19.b $1$ $0.085$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-19}) \) \(\Q(\sqrt{57}) \) \(0\) \(0\) \(0\) \(-2\) \(q+q^{4}-2q^{7}+q^{16}-q^{19}-q^{25}+\cdots\)
180.1.f.a 180.f 20.d $2$ $0.090$ \(\Q(\sqrt{-1}) \) $D_{2}$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-15}) \) \(\Q(\sqrt{15}) \) \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}-q^{4}-iq^{5}+iq^{8}-q^{10}+\cdots\)
183.1.d.a 183.d 183.d $1$ $0.091$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-183}) \) \(\Q(\sqrt{61}) \) \(0\) \(1\) \(0\) \(0\) \(q+q^{3}-q^{4}+q^{9}-q^{12}-2q^{13}+q^{16}+\cdots\)
184.1.e.a 184.e 184.e $1$ $0.092$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-23}) \), \(\Q(\sqrt{-46}) \) \(\Q(\sqrt{2}) \) \(-1\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}-q^{8}+q^{9}+q^{16}-q^{18}+\cdots\)
192.1.h.a 192.h 24.h $2$ $0.096$ \(\Q(\sqrt{-1}) \) $D_{2}$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-2}) \) \(\Q(\sqrt{6}) \) \(0\) \(0\) \(0\) \(0\) \(q-iq^{3}-q^{9}+iq^{19}-q^{25}+iq^{27}+\cdots\)
196.1.c.a 196.c 4.b $1$ $0.098$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-7}) \) \(\Q(\sqrt{7}) \) \(-1\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}-q^{8}+q^{9}+q^{16}-q^{18}+\cdots\)
196.1.g.a 196.g 28.g $2$ $0.098$ \(\Q(\sqrt{-3}) \) $D_{2}$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-7}) \) \(\Q(\sqrt{7}) \) \(1\) \(0\) \(0\) \(0\) \(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-q^{8}+\zeta_{6}^{2}q^{9}+\cdots\)
203.1.c.a 203.c 203.c $1$ $0.101$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-203}) \) \(\Q(\sqrt{29}) \) \(0\) \(0\) \(0\) \(-1\) \(q+q^{4}-q^{7}-q^{9}+q^{16}-2q^{23}+q^{25}+\cdots\)
208.1.c.a 208.c 52.b $1$ $0.104$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-13}) \) \(\Q(\sqrt{13}) \) \(0\) \(0\) \(0\) \(0\) \(q+q^{9}-q^{13}-2q^{17}+q^{25}-2q^{29}+\cdots\)
219.1.c.a 219.c 219.c $1$ $0.109$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-219}) \) \(\Q(\sqrt{73}) \) \(0\) \(-1\) \(0\) \(0\) \(q-q^{3}+q^{4}+q^{9}-q^{12}+q^{16}-2q^{19}+\cdots\)
224.1.h.a 224.h 56.h $1$ $0.112$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-14}) \) \(\Q(\sqrt{2}) \) \(0\) \(0\) \(0\) \(1\) \(q+q^{7}-q^{9}-2q^{23}-q^{25}+q^{49}+\cdots\)
225.1.g.a 225.g 5.c $2$ $0.112$ \(\Q(\sqrt{-1}) \) $D_{2}$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-15}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(0\) \(0\) \(q+iq^{4}-q^{16}-iq^{19}-q^{31}+iq^{49}+\cdots\)
248.1.g.a 248.g 248.g $1$ $0.124$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-31}) \), \(\Q(\sqrt{-62}) \) \(\Q(\sqrt{2}) \) \(1\) \(0\) \(0\) \(-2\) \(q+q^{2}+q^{4}-2q^{7}+q^{8}-q^{9}-2q^{14}+\cdots\)
255.1.h.e 255.h 255.h $2$ $0.127$ \(\Q(\sqrt{-1}) \) $D_{2}$ \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-51}) \) \(\Q(\sqrt{85}) \) \(0\) \(0\) \(0\) \(0\) \(q-iq^{3}-q^{4}-iq^{5}-q^{9}+iq^{12}+\cdots\)
256.1.c.a 256.c 4.b $1$ $0.128$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-2}) \) \(\Q(\sqrt{2}) \) \(0\) \(0\) \(0\) \(0\) \(q+q^{9}-2q^{17}-q^{25}-2q^{41}+q^{49}+\cdots\)
259.1.b.a 259.b 259.b $1$ $0.129$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-259}) \) \(\Q(\sqrt{37}) \) \(0\) \(0\) \(0\) \(-1\) \(q+q^{4}-q^{7}+q^{9}-2q^{11}+q^{16}-q^{25}+\cdots\)
260.1.g.a 260.g 260.g $1$ $0.130$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-65}) \) \(\Q(\sqrt{65}) \) \(-1\) \(0\) \(1\) \(0\) \(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{9}-q^{10}+\cdots\)
260.1.g.b 260.g 260.g $1$ $0.130$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-65}) \) \(\Q(\sqrt{65}) \) \(1\) \(0\) \(-1\) \(0\) \(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{9}-q^{10}+\cdots\)
264.1.p.a 264.p 264.p $1$ $0.132$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-66}) \) \(\Q(\sqrt{33}) \) \(-1\) \(-1\) \(0\) \(0\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
264.1.p.b 264.p 264.p $1$ $0.132$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-66}) \) \(\Q(\sqrt{33}) \) \(1\) \(-1\) \(0\) \(0\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
275.1.c.a 275.c 11.b $1$ $0.137$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-55}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(0\) \(0\) \(q+q^{4}-q^{9}-q^{11}+q^{16}-2q^{31}+\cdots\)
276.1.h.a 276.h 276.h $1$ $0.138$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-23}) \), \(\Q(\sqrt{-69}) \) \(\Q(\sqrt{3}) \) \(-1\) \(1\) \(0\) \(0\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
276.1.h.b 276.h 276.h $1$ $0.138$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-23}) \), \(\Q(\sqrt{-69}) \) \(\Q(\sqrt{3}) \) \(1\) \(-1\) \(0\) \(0\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
279.1.d.a 279.d 31.b $1$ $0.139$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-31}) \) \(\Q(\sqrt{93}) \) \(0\) \(0\) \(0\) \(2\) \(q-q^{4}+2q^{7}+q^{16}-2q^{19}-q^{25}+\cdots\)
291.1.c.a 291.c 291.c $1$ $0.145$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-291}) \) \(\Q(\sqrt{97}) \) \(0\) \(-1\) \(0\) \(0\) \(q-q^{3}+q^{4}+q^{9}-q^{12}+q^{16}-q^{25}+\cdots\)
292.1.b.a 292.b 292.b $1$ $0.146$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-73}) \) \(\Q(\sqrt{73}) \) \(-1\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}-q^{8}+q^{9}+q^{16}-q^{18}+\cdots\)
295.1.d.a 295.d 295.d $1$ $0.147$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-59}) \), \(\Q(\sqrt{-295}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(1\) \(0\) \(q-q^{4}+q^{5}+q^{9}+q^{16}-2q^{19}-q^{20}+\cdots\)
299.1.c.a 299.c 299.c $1$ $0.149$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-23}) \), \(\Q(\sqrt{-299}) \) \(\Q(\sqrt{13}) \) \(0\) \(-2\) \(0\) \(0\) \(q-2q^{3}+q^{4}+3q^{9}-2q^{12}+q^{13}+\cdots\)
300.1.l.a 300.l 60.l $4$ $0.150$ \(\Q(\zeta_{8})\) $D_{2}$ \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-5}) \) \(\Q(\sqrt{3}) \) \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}q^{2}-\zeta_{8}^{3}q^{3}+\zeta_{8}^{2}q^{4}-q^{6}+\cdots\)
308.1.g.a 308.g 308.g $1$ $0.154$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-77}) \) \(\Q(\sqrt{11}) \) \(-1\) \(0\) \(0\) \(1\) \(q-q^{2}+q^{4}+q^{7}-q^{8}-q^{9}+q^{11}+\cdots\)
308.1.g.b 308.g 308.g $1$ $0.154$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-77}) \) \(\Q(\sqrt{11}) \) \(1\) \(0\) \(0\) \(-1\) \(q+q^{2}+q^{4}-q^{7}+q^{8}-q^{9}-q^{11}+\cdots\)
320.1.h.a 320.h 20.d $1$ $0.160$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-5}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(1\) \(0\) \(q+q^{5}-q^{9}+q^{25}-2q^{29}-2q^{41}+\cdots\)
323.1.c.a 323.c 323.c $1$ $0.161$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-323}) \) \(\Q(\sqrt{17}) \) \(0\) \(0\) \(0\) \(0\) \(q+q^{4}-q^{9}+q^{16}-q^{17}-q^{19}+q^{25}+\cdots\)
327.1.d.b 327.d 327.d $1$ $0.163$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-327}) \) \(\Q(\sqrt{109}) \) \(0\) \(-1\) \(0\) \(2\) \(q-q^{3}-q^{4}+2q^{7}+q^{9}+q^{12}+q^{16}+\cdots\)
328.1.c.a 328.c 328.c $1$ $0.164$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-82}) \) \(\Q(\sqrt{41}) \) \(-1\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}-q^{8}+q^{9}+q^{16}-q^{18}+\cdots\)
336.1.o.a 336.o 84.h $1$ $0.168$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-21}) \) \(\Q(\sqrt{7}) \) \(0\) \(-1\) \(0\) \(1\) \(q-q^{3}+q^{7}+q^{9}+2q^{19}-q^{21}-q^{25}+\cdots\)
Next   displayed columns for results