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Level	Weight	Analytic conductor	$Nk^2$	Dim.

Bad $p$	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank

Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
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Results (1-50 of 9650 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Coefficient ring index	Sato-Tate	$q$-expansion
2003.1.b.a	$2003$	$1$	2003.b	2003.b	$2$	$1$	$1$	$1.000$	$\Q$	$D_{3}$	$\Q(\sqrt{-2003}) $	None	✓	$2$	$0$	$0$	$-1$	$0$	$0$	$1$		$q-q^{3}+q^{4}-q^{12}-q^{13}+q^{16}+2q^{19}+\cdots$
2004.1.g.a	$2004$	$1$	2004.g	2004.g	$2$	$1$	$1$	$1.000$	$\Q$	$D_{2}$	$\Q(\sqrt{-167}) $, $\Q(\sqrt{-501}) $	$\Q(\sqrt{3}) $	✓	$4$	$0$	$-1$	$-1$	$0$	$0$	$1$		$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
2004.1.g.b	$2004$	$1$	2004.g	2004.g	$2$	$1$	$1$	$1.000$	$\Q$	$D_{2}$	$\Q(\sqrt{-167}) $, $\Q(\sqrt{-501}) $	$\Q(\sqrt{3}) $	✓	$4$	$0$	$1$	$1$	$0$	$0$	$1$		$q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots$
2007.1.d.a	$2007$	$1$	2007.d	223.b	$2$	$1$	$1$	$1.002$	$\Q$	$D_{2}$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-223}) $	$\Q(\sqrt{669}) $	✓	$4$	$0$	$0$	$0$	$0$	$-2$	$1$		$q-q^{4}-2q^{7}+q^{16}+2q^{19}+q^{25}+\cdots$
2016.1.l.a	$2016$	$1$	2016.l	56.h	$2$	$1$	$1$	$1.006$	$\Q$	$D_{2}$	$\Q(\sqrt{-7}) $, $\Q(\sqrt{-14}) $	$\Q(\sqrt{2}) $	✓	$4$	$0$	$0$	$0$	$0$	$1$	$1$		$q+q^{7}+2q^{23}-q^{25}+q^{49}-2q^{71}+\cdots$
2019.1.c.a	$2019$	$1$	2019.c	2019.c	$2$	$1$	$1$	$1.008$	$\Q$	$D_{2}$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-2019}) $	$\Q(\sqrt{673}) $	✓	$4$	$0$	$0$	$1$	$0$	$-2$	$1$		$q+q^{3}+q^{4}-2q^{7}+q^{9}+q^{12}+2q^{13}+\cdots$
2020.1.d.a	$2020$	$1$	2020.d	2020.d	$2$	$1$	$1$	$1.008$	$\Q$	$D_{2}$	$\Q(\sqrt{-1}) $, $\Q(\sqrt{-505}) $	$\Q(\sqrt{505}) $	✓	$4$	$0$	$-1$	$0$	$-1$	$0$	$1$		$q-q^{2}+q^{4}-q^{5}-q^{8}+q^{9}+q^{10}+\cdots$
2020.1.d.b	$2020$	$1$	2020.d	2020.d	$2$	$1$	$1$	$1.008$	$\Q$	$D_{2}$	$\Q(\sqrt{-1}) $, $\Q(\sqrt{-505}) $	$\Q(\sqrt{505}) $	✓	$4$	$0$	$1$	$0$	$-1$	$0$	$1$		$q+q^{2}+q^{4}-q^{5}+q^{8}+q^{9}-q^{10}+\cdots$
2023.1.c.a	$2023$	$1$	2023.c	7.b	$2$	$1$	$1$	$1.010$	$\Q$	$D_{3}$	$\Q(\sqrt{-7}) $	None	✓	$2$	$0$	$-1$	$0$	$0$	$-1$	$1$		$q-q^{2}-q^{7}+q^{8}+q^{9}-2q^{11}+q^{14}+\cdots$
2023.1.c.b	$2023$	$1$	2023.c	7.b	$2$	$1$	$1$	$1.010$	$\Q$	$D_{3}$	$\Q(\sqrt{-7}) $	None	✓	$2$	$0$	$-1$	$0$	$0$	$1$	$1$		$q-q^{2}+q^{7}+q^{8}+q^{9}+2q^{11}-q^{14}+\cdots$
2028.1.d.a	$2028$	$1$	2028.d	3.b	$2$	$1$	$1$	$1.012$	$\Q$	$D_{3}$	$\Q(\sqrt{-3}) $	None	✓	$2$	$0$	$0$	$1$	$0$	$-1$	$1$		$q+q^{3}-q^{7}+q^{9}+2q^{19}-q^{21}+q^{25}+\cdots$
2028.1.d.b	$2028$	$1$	2028.d	3.b	$2$	$1$	$1$	$1.012$	$\Q$	$D_{3}$	$\Q(\sqrt{-3}) $	None	✓	$2$	$0$	$0$	$1$	$0$	$1$	$1$		$q+q^{3}+q^{7}+q^{9}-2q^{19}+q^{21}+q^{25}+\cdots$
2035.1.c.a	$2035$	$1$	2035.c	2035.c	$2$	$1$	$1$	$1.016$	$\Q$	$D_{2}$	$\Q(\sqrt{-11}) $, $\Q(\sqrt{-2035}) $	$\Q(\sqrt{185}) $	✓	$4$	$0$	$0$	$0$	$-1$	$0$	$1$		$q+q^{4}-q^{5}+q^{9}-q^{11}+q^{16}-q^{20}+\cdots$
2035.1.c.b	$2035$	$1$	2035.c	2035.c	$2$	$1$	$1$	$1.016$	$\Q$	$D_{2}$	$\Q(\sqrt{-11}) $, $\Q(\sqrt{-2035}) $	$\Q(\sqrt{185}) $	✓	$4$	$0$	$0$	$0$	$1$	$0$	$1$		$q+q^{4}+q^{5}+q^{9}-q^{11}+q^{16}+q^{20}+\cdots$
2036.1.d.a	$2036$	$1$	2036.d	2036.d	$2$	$1$	$1$	$1.016$	$\Q$	$D_{3}$	$\Q(\sqrt{-509}) $	None	✓	$2$	$0$	$-1$	$1$	$2$	$1$	$1$		$q-q^{2}+q^{3}+q^{4}+2q^{5}-q^{6}+q^{7}+\cdots$
2036.1.d.b	$2036$	$1$	2036.d	2036.d	$2$	$1$	$1$	$1.016$	$\Q$	$D_{3}$	$\Q(\sqrt{-509}) $	None	✓	$2$	$0$	$1$	$-1$	$2$	$-1$	$1$		$q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}-q^{7}+\cdots$
2039.1.b.a	$2039$	$1$	2039.b	2039.b	$2$	$1$	$1$	$1.018$	$\Q$	$D_{3}$	$\Q(\sqrt{-2039}) $	None	✓	$2$	$0$	$-1$	$-1$	$-1$	$0$	$1$		$q-q^{2}-q^{3}-q^{5}+q^{6}+q^{8}+q^{10}+\cdots$
2040.1.v.a	$2040$	$1$	2040.v	2040.v	$2$	$1$	$1$	$1.018$	$\Q$	$D_{2}$	$\Q(\sqrt{-15}) $, $\Q(\sqrt{-510}) $	$\Q(\sqrt{34}) $	✓	$4$	$0$	$-1$	$-1$	$1$	$0$	$1$		$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots$
2040.1.v.b	$2040$	$1$	2040.v	2040.v	$2$	$1$	$1$	$1.018$	$\Q$	$D_{2}$	$\Q(\sqrt{-15}) $, $\Q(\sqrt{-510}) $	$\Q(\sqrt{34}) $	✓	$4$	$0$	$-1$	$1$	$-1$	$0$	$1$		$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots$
2040.1.v.c	$2040$	$1$	2040.v	2040.v	$2$	$1$	$1$	$1.018$	$\Q$	$D_{2}$	$\Q(\sqrt{-15}) $, $\Q(\sqrt{-510}) $	$\Q(\sqrt{34}) $	✓	$4$	$0$	$1$	$-1$	$1$	$0$	$1$		$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$
2040.1.v.d	$2040$	$1$	2040.v	2040.v	$2$	$1$	$1$	$1.018$	$\Q$	$D_{2}$	$\Q(\sqrt{-15}) $, $\Q(\sqrt{-510}) $	$\Q(\sqrt{34}) $	✓	$4$	$0$	$1$	$1$	$-1$	$0$	$1$		$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots$
2047.1.b.a	$2047$	$1$	2047.b	2047.b	$2$	$1$	$1$	$1.022$	$\Q$	$D_{3}$	$\Q(\sqrt{-2047}) $	None	✓	$2$	$0$	$-1$	$0$	$0$	$-1$	$1$		$q-q^{2}-q^{7}+q^{8}+q^{9}+q^{14}-q^{16}+\cdots$
2047.1.b.b	$2047$	$1$	2047.b	2047.b	$2$	$1$	$1$	$1.022$	$\Q$	$D_{3}$	$\Q(\sqrt{-2047}) $	None	✓	$2$	$0$	$-1$	$0$	$0$	$1$	$1$		$q-q^{2}+q^{7}+q^{8}+q^{9}-q^{14}-q^{16}+\cdots$
2051.1.c.a	$2051$	$1$	2051.c	2051.c	$2$	$1$	$1$	$1.024$	$\Q$	$D_{3}$	$\Q(\sqrt{-2051}) $	None	✓	$2$	$0$	$0$	$-1$	$-1$	$1$	$1$		$q-q^{3}+q^{4}-q^{5}+q^{7}-q^{12}-q^{13}+\cdots$
2051.1.c.b	$2051$	$1$	2051.c	2051.c	$2$	$1$	$1$	$1.024$	$\Q$	$D_{3}$	$\Q(\sqrt{-2051}) $	None	✓	$2$	$0$	$0$	$1$	$1$	$-1$	$1$		$q+q^{3}+q^{4}+q^{5}-q^{7}+q^{12}+q^{13}+\cdots$
2052.1.b.a	$2052$	$1$	2052.b	228.b	$2$	$1$	$1$	$1.024$	$\Q$	$D_{3}$	$\Q(\sqrt{-57}) $	None	✓	$2$	$0$	$-1$	$0$	$0$	$0$	$1$		$q-q^{2}+q^{4}-q^{8}-q^{11}+q^{16}-q^{19}+\cdots$
2052.1.b.b	$2052$	$1$	2052.b	228.b	$2$	$1$	$1$	$1.024$	$\Q$	$D_{3}$	$\Q(\sqrt{-57}) $	None	✓	$2$	$0$	$-1$	$0$	$0$	$0$	$1$		$q-q^{2}+q^{4}-q^{8}+q^{11}+q^{16}+q^{19}+\cdots$
2052.1.b.c	$2052$	$1$	2052.b	228.b	$2$	$1$	$1$	$1.024$	$\Q$	$D_{3}$	$\Q(\sqrt{-57}) $	None	✓	$2$	$0$	$1$	$0$	$0$	$0$	$1$		$q+q^{2}+q^{4}+q^{8}-q^{11}+q^{16}+q^{19}+\cdots$
2052.1.b.d	$2052$	$1$	2052.b	228.b	$2$	$1$	$1$	$1.024$	$\Q$	$D_{3}$	$\Q(\sqrt{-57}) $	None	✓	$2$	$0$	$1$	$0$	$0$	$0$	$1$		$q+q^{2}+q^{4}+q^{8}+q^{11}+q^{16}-q^{19}+\cdots$
2056.1.e.a	$2056$	$1$	2056.e	2056.e	$2$	$1$	$1$	$1.026$	$\Q$	$D_{2}$	$\Q(\sqrt{-2}) $, $\Q(\sqrt{-514}) $	$\Q(\sqrt{257}) $	✓	$4$	$0$	$1$	$0$	$0$	$0$	$1$		$q+q^{2}+q^{4}+q^{8}+q^{9}-2q^{11}+q^{16}+\cdots$
2059.1.b.a	$2059$	$1$	2059.b	2059.b	$2$	$1$	$1$	$1.028$	$\Q$	$D_{2}$	$\Q(\sqrt{-71}) $, $\Q(\sqrt{-2059}) $	$\Q(\sqrt{29}) $	✓	$4$	$0$	$0$	$0$	$-2$	$0$	$1$		$q+q^{4}-2q^{5}+q^{9}+q^{16}-2q^{20}+\cdots$
2063.1.b.a	$2063$	$1$	2063.b	2063.b	$2$	$1$	$1$	$1.030$	$\Q$	$D_{3}$	$\Q(\sqrt{-2063}) $	None	✓	$2$	$0$	$-1$	$2$	$0$	$-1$	$1$		$q-q^{2}+2q^{3}-2q^{6}-q^{7}+q^{8}+3q^{9}+\cdots$
2064.1.p.a	$2064$	$1$	2064.p	516.h	$2$	$1$	$1$	$1.030$	$\Q$	$D_{2}$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-129}) $	$\Q(\sqrt{43}) $	✓	$4$	$0$	$0$	$-1$	$0$	$2$	$1$		$q-q^{3}+2q^{7}+q^{9}+2q^{13}-2q^{19}+\cdots$
2064.1.p.b	$2064$	$1$	2064.p	516.h	$2$	$1$	$1$	$1.030$	$\Q$	$D_{2}$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-129}) $	$\Q(\sqrt{43}) $	✓	$4$	$0$	$0$	$1$	$0$	$-2$	$1$		$q+q^{3}-2q^{7}+q^{9}+2q^{13}+2q^{19}+\cdots$
2067.1.c.a	$2067$	$1$	2067.c	2067.c	$2$	$1$	$1$	$1.032$	$\Q$	$D_{2}$	$\Q(\sqrt{-159}) $, $\Q(\sqrt{-2067}) $	$\Q(\sqrt{13}) $	✓	$4$	$0$	$0$	$-1$	$0$	$0$	$1$		$q-q^{3}+q^{4}+q^{9}-q^{12}-q^{13}+q^{16}+\cdots$
2067.1.c.b	$2067$	$1$	2067.c	2067.c	$2$	$1$	$1$	$1.032$	$\Q$	$D_{2}$	$\Q(\sqrt{-159}) $, $\Q(\sqrt{-2067}) $	$\Q(\sqrt{13}) $	✓	$4$	$0$	$0$	$1$	$0$	$0$	$1$		$q+q^{3}+q^{4}+q^{9}+q^{12}-q^{13}+q^{16}+\cdots$
2068.1.c.a	$2068$	$1$	2068.c	2068.c	$2$	$1$	$1$	$1.032$	$\Q$	$D_{3}$	$\Q(\sqrt{-517}) $	None	✓	$2$	$0$	$-1$	$0$	$0$	$1$	$1$		$q-q^{2}+q^{4}+q^{7}-q^{8}+q^{9}-q^{11}+\cdots$
2068.1.c.b	$2068$	$1$	2068.c	2068.c	$2$	$1$	$1$	$1.032$	$\Q$	$D_{3}$	$\Q(\sqrt{-517}) $	None	✓	$2$	$0$	$-1$	$0$	$0$	$1$	$1$		$q-q^{2}+q^{4}+q^{7}-q^{8}+q^{9}+q^{11}+\cdots$
2068.1.c.c	$2068$	$1$	2068.c	2068.c	$2$	$1$	$1$	$1.032$	$\Q$	$D_{3}$	$\Q(\sqrt{-517}) $	None	✓	$2$	$0$	$1$	$0$	$0$	$-1$	$1$		$q+q^{2}+q^{4}-q^{7}+q^{8}+q^{9}-q^{11}+\cdots$
2068.1.c.d	$2068$	$1$	2068.c	2068.c	$2$	$1$	$1$	$1.032$	$\Q$	$D_{3}$	$\Q(\sqrt{-517}) $	None	✓	$2$	$0$	$1$	$0$	$0$	$-1$	$1$		$q+q^{2}+q^{4}-q^{7}+q^{8}+q^{9}+q^{11}+\cdots$
2071.1.d.a	$2071$	$1$	2071.d	2071.d	$2$	$1$	$1$	$1.034$	$\Q$	$D_{3}$	$\Q(\sqrt{-2071}) $	None	✓	$2$	$0$	$-2$	$0$	$-1$	$-1$	$1$		$q-2q^{2}+3q^{4}-q^{5}-q^{7}-4q^{8}+q^{9}+\cdots$
2071.1.d.b	$2071$	$1$	2071.d	2071.d	$2$	$1$	$1$	$1.034$	$\Q$	$D_{3}$	$\Q(\sqrt{-2071}) $	None	✓	$2$	$0$	$2$	$0$	$-1$	$-1$	$1$		$q+2q^{2}+3q^{4}-q^{5}-q^{7}+4q^{8}+q^{9}+\cdots$
2072.1.k.a	$2072$	$1$	2072.k	2072.k	$2$	$1$	$1$	$1.034$	$\Q$	$D_{2}$	$\Q(\sqrt{-7}) $, $\Q(\sqrt{-518}) $	$\Q(\sqrt{74}) $	✓	$4$	$0$	$-1$	$0$	$0$	$1$	$1$		$q-q^{2}+q^{4}+q^{7}-q^{8}-q^{9}-q^{14}+\cdots$
2072.1.k.b	$2072$	$1$	2072.k	2072.k	$2$	$1$	$1$	$1.034$	$\Q$	$D_{2}$	$\Q(\sqrt{-7}) $, $\Q(\sqrt{-518}) $	$\Q(\sqrt{74}) $	✓	$4$	$0$	$1$	$0$	$0$	$1$	$1$		$q+q^{2}+q^{4}+q^{7}+q^{8}-q^{9}+q^{14}+\cdots$
2075.1.c.a	$2075$	$1$	2075.c	83.b	$2$	$1$	$1$	$1.036$	$\Q$	$D_{3}$	$\Q(\sqrt{-83}) $	None	✓	$2$	$0$	$0$	$-2$	$0$	$1$	$1$		$q-2q^{3}+q^{4}+q^{7}+3q^{9}-q^{11}-2q^{12}+\cdots$
2075.1.c.b	$2075$	$1$	2075.c	83.b	$2$	$1$	$1$	$1.036$	$\Q$	$D_{3}$	$\Q(\sqrt{-83}) $	None	✓	$2$	$0$	$0$	$-1$	$0$	$-1$	$1$		$q-q^{3}+q^{4}-q^{7}-q^{11}-q^{12}+q^{16}+\cdots$
2075.1.c.c	$2075$	$1$	2075.c	83.b	$2$	$1$	$1$	$1.036$	$\Q$	$D_{3}$	$\Q(\sqrt{-83}) $	None	✓	$2$	$0$	$0$	$-1$	$0$	$2$	$1$		$q-q^{3}+q^{4}+2q^{7}+2q^{11}-q^{12}+\cdots$
2075.1.c.d	$2075$	$1$	2075.c	83.b	$2$	$1$	$1$	$1.036$	$\Q$	$D_{3}$	$\Q(\sqrt{-83}) $	None	✓	$2$	$0$	$0$	$1$	$0$	$-2$	$1$		$q+q^{3}+q^{4}-2q^{7}+2q^{11}+q^{12}+\cdots$
2075.1.c.e	$2075$	$1$	2075.c	83.b	$2$	$1$	$1$	$1.036$	$\Q$	$D_{3}$	$\Q(\sqrt{-83}) $	None	✓	$2$	$0$	$0$	$1$	$0$	$1$	$1$		$q+q^{3}+q^{4}+q^{7}-q^{11}+q^{12}+q^{16}+\cdots$
2075.1.c.f	$2075$	$1$	2075.c	83.b	$2$	$1$	$1$	$1.036$	$\Q$	$D_{3}$	$\Q(\sqrt{-83}) $	None	✓	$2$	$0$	$0$	$1$	$0$	$1$	$1$		$q+q^{3}+q^{4}+q^{7}-q^{11}+q^{12}+q^{16}+\cdots$

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Elliptic curves over $\Q$
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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.