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Lowest zero	Conductor	Analytic conductor	Central character	Analytic rank

Degree	Bad $p$	Root analytic conductor	Motivic weight	Spectral label

Root angle	Primitive	Origin	Exclude origin	Self-dual

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Results (1-50 of 992 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-2268-252.167-c0-0-0	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.167	$0.0$	✓	✓	$0.305$	$0$	$0.0558924$	Artin representation 2.2268.12t18.c.b Modular form 2268.1.s.c.1511.1
2-2268-252.167-c0-0-1	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.167	$0.0$	✓	✓	$-0.486$	$0$	$0.0718124$	Modular form 2268.1.s.f.1511.1
2-2268-252.167-c0-0-10	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.167	$0.0$	✓	✓	$-0.194$	$0$	$1.23122$	Modular form 2268.1.s.d.1511.1
2-2268-252.167-c0-0-11	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.167	$0.0$	✓	✓	$0.0138$	$0$	$1.30464$	Modular form 2268.1.s.f.1511.4
2-2268-252.167-c0-0-12	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.167	$0.0$	✓	✓	$0.263$	$0$	$1.32470$	Modular form 2268.1.s.f.1511.2
2-2268-252.167-c0-0-13	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.167	$0.0$	✓	✓	$0.305$	$0$	$1.39237$	Artin representation 2.2268.6t5.l.b Modular form 2268.1.s.b.1511.1
2-2268-252.167-c0-0-14	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.167	$0.0$	✓	✓	$-0.0277$	$0$	$1.68050$	Modular form 2268.1.s.g.1511.4
2-2268-252.167-c0-0-15	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.167	$0.0$	✓	✓	$0.347$	$0$	$2.06714$	Modular form 2268.1.s.e.1511.3
2-2268-252.167-c0-0-2	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.167	$0.0$	✓	✓	$-0.194$	$0$	$0.590740$	Artin representation 2.2268.12t18.b.a Modular form 2268.1.s.a.1511.1
2-2268-252.167-c0-0-3	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.167	$0.0$	✓	✓	$-0.0277$	$0$	$0.629279$	Modular form 2268.1.s.g.1511.3
2-2268-252.167-c0-0-4	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.167	$0.0$	✓	✓	$-0.402$	$0$	$0.705144$	Modular form 2268.1.s.e.1511.4
2-2268-252.167-c0-0-5	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.167	$0.0$	✓	✓	$0.0972$	$0$	$0.935949$	Modular form 2268.1.s.e.1511.1
2-2268-252.167-c0-0-6	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.167	$0.0$	✓	✓	$-0.0277$	$0$	$0.989670$	Modular form 2268.1.s.g.1511.1
2-2268-252.167-c0-0-7	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.167	$0.0$	✓	✓	$-0.152$	$0$	$1.03987$	Modular form 2268.1.s.e.1511.2
2-2268-252.167-c0-0-8	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.167	$0.0$	✓	✓	$-0.236$	$0$	$1.07282$	Modular form 2268.1.s.f.1511.3
2-2268-252.167-c0-0-9	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.167	$0.0$	✓	✓	$-0.0277$	$0$	$1.16839$	Modular form 2268.1.s.g.1511.2
2-2268-252.83-c0-0-0	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.83	$0.0$	✓	✓	$0.0277$	$0$	$0.673540$	Modular form 2268.1.s.g.755.2
2-2268-252.83-c0-0-1	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.83	$0.0$	✓	✓	$-0.305$	$0$	$0.900733$	Artin representation 2.2268.6t5.l.a Modular form 2268.1.s.b.755.1
2-2268-252.83-c0-0-10	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.83	$0.0$	✓	✓	$0.0277$	$0$	$1.50288$	Modular form 2268.1.s.g.755.3
2-2268-252.83-c0-0-11	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.83	$0.0$	✓	✓	$-0.0138$	$0$	$1.55844$	Modular form 2268.1.s.f.755.4
2-2268-252.83-c0-0-12	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.83	$0.0$	✓	✓	$0.486$	$0$	$1.63264$	Modular form 2268.1.s.f.755.1
2-2268-252.83-c0-0-13	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.83	$0.0$	✓	✓	$0.194$	$0$	$1.67755$	Artin representation 2.2268.12t18.b.b Modular form 2268.1.s.a.755.1
2-2268-252.83-c0-0-14	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.83	$0.0$	✓	✓	$0.402$	$0$	$2.01023$	Modular form 2268.1.s.e.755.3
2-2268-252.83-c0-0-15	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.83	$0.0$	✓	✓	$-0.305$	$0$	$2.48767$	Artin representation 2.2268.12t18.c.a Modular form 2268.1.s.c.755.1
2-2268-252.83-c0-0-2	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.83	$0.0$	✓	✓	$-0.0972$	$0$	$0.908983$	Modular form 2268.1.s.e.755.2
2-2268-252.83-c0-0-3	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.83	$0.0$	✓	✓	$-0.347$	$0$	$0.926874$	Modular form 2268.1.s.e.755.4
2-2268-252.83-c0-0-4	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.83	$0.0$	✓	✓	$-0.263$	$0$	$0.929682$	Modular form 2268.1.s.f.755.2
2-2268-252.83-c0-0-5	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.83	$0.0$	✓	✓	$0.152$	$0$	$1.30387$	Modular form 2268.1.s.e.755.1
2-2268-252.83-c0-0-6	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.83	$0.0$	✓	✓	$0.0277$	$0$	$1.31804$	Modular form 2268.1.s.g.755.1
2-2268-252.83-c0-0-7	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.83	$0.0$	✓	✓	$0.236$	$0$	$1.32245$	Modular form 2268.1.s.f.755.3
2-2268-252.83-c0-0-8	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.83	$0.0$	✓	✓	$0.194$	$0$	$1.39950$	Modular form 2268.1.s.d.755.1
2-2268-252.83-c0-0-9	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	252.83	$0.0$	✓	✓	$0.0277$	$0$	$1.44989$	Modular form 2268.1.s.g.755.4
2-2268-63.11-c0-0-0	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	63.11	$0.0$	✓	✓	$-0.0454$	$0$	$1.14599$	Artin representation 2.2268.6t5.i.b Modular form 2268.1.bh.b.1565.1
2-2268-63.11-c0-0-1	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	63.11	$0.0$	✓	✓	$0.287$	$0$	$1.76171$	Artin representation 2.2268.6t5.k.a Modular form 2268.1.bh.a.1565.1
2-2268-63.13-c0-0-0	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	63.13	$0.0$	✓	✓	$-0.111$	$0$	$0.715080$	Modular form 2268.1.bc.a.433.1
2-2268-63.13-c0-0-1	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	63.13	$0.0$	✓	✓	$-0.111$	$0$	$0.851976$	Modular form 2268.1.bc.b.433.1
2-2268-63.13-c0-0-2	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	63.13	$0.0$	✓	✓	$-0.111$	$0$	$1.34210$	Modular form 2268.1.bc.d.433.1
2-2268-63.13-c0-0-3	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	63.13	$0.0$	✓	✓	$0.222$	$0$	$1.73068$	Modular form 2268.1.bc.c.433.1
2-2268-63.2-c0-0-0	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	63.2	$0.0$	✓	✓	$0.101$	$0$	$1.30718$	Artin representation 2.2268.6t5.h.b Modular form 2268.1.m.a.1241.1
2-2268-63.2-c0-0-1	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	63.2	$0.0$	✓	✓	$0.101$	$0$	$1.49557$	Artin representation 2.2268.6t5.j.a Modular form 2268.1.m.b.1241.1
2-2268-63.23-c0-0-0	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	63.23	$0.0$	✓	✓	$-0.287$	$0$	$0.541582$	Artin representation 2.2268.6t5.k.b Modular form 2268.1.bh.a.1997.1
2-2268-63.23-c0-0-1	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	63.23	$0.0$	✓	✓	$0.0454$	$0$	$1.38506$	Artin representation 2.2268.6t5.i.a Modular form 2268.1.bh.b.1997.1
2-2268-63.31-c0-0-0	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	63.31	$0.0$	✓	✓	$0.0353$	$0$	$1.12886$	Modular form 2268.1.p.a.1081.1
2-2268-63.31-c0-0-1	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	63.31	$0.0$	✓	✓	$0.0353$	$0$	$1.26990$	Modular form 2268.1.p.b.1081.1
2-2268-63.32-c0-0-0	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	63.32	$0.0$	✓	✓	$-0.101$	$0$	$0.928506$	Artin representation 2.2268.6t5.h.a Modular form 2268.1.m.a.53.1
2-2268-63.32-c0-0-1	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	63.32	$0.0$	✓	✓	$-0.101$	$0$	$0.982146$	Artin representation 2.2268.6t5.j.b Modular form 2268.1.m.b.53.1
2-2268-63.34-c0-0-0	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	63.34	$0.0$	✓	✓	$-0.222$	$0$	$0.711974$	Modular form 2268.1.bc.c.1189.1
2-2268-63.34-c0-0-1	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	63.34	$0.0$	✓	✓	$0.111$	$0$	$1.22125$	Modular form 2268.1.bc.a.1189.1
2-2268-63.34-c0-0-2	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	63.34	$0.0$	✓	✓	$0.111$	$0$	$1.32527$	Modular form 2268.1.bc.b.1189.1
2-2268-63.34-c0-0-3	$1.06$	$1.13$	$2$	$2^{2} \cdot 3^{4} \cdot 7$	63.34	$0.0$	✓	✓	$0.111$	$0$	$1.67705$	Modular form 2268.1.bc.d.1189.1

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
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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.