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Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim arith $\mathbb{Q}$ self-dual $\operatorname{Arg}(\epsilon)$ $r$ First zero Origin
2-840-840.149-c0-0-0 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.149 $$ $0.0$ $0$ $-0.343$ $0$ $1.15646$ Modular form 840.1.cg.b.149.2
2-840-840.149-c0-0-1 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.149 $$ $0.0$ $0$ $-0.176$ $0$ $1.49873$ Modular form 840.1.cg.a.149.2
2-840-840.149-c0-0-2 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.149 $$ $0.0$ $0$ $0.156$ $0$ $1.65628$ Modular form 840.1.cg.b.149.1
2-840-840.149-c0-0-3 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.149 $$ $0.0$ $0$ $0.323$ $0$ $2.00325$ Modular form 840.1.cg.a.149.1
2-840-840.173-c0-0-0 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.173 $$ $0.0$ $0$ $0.149$ $0$ $1.09371$ Modular form 840.1.dh.b.173.1
2-840-840.173-c0-0-1 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.173 $$ $0.0$ $0$ $-0.266$ $0$ $1.16124$ Modular form 840.1.dh.a.173.2
2-840-840.173-c0-0-2 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.173 $$ $0.0$ $0$ $-0.350$ $0$ $1.34299$ Modular form 840.1.dh.b.173.2
2-840-840.173-c0-0-3 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.173 $$ $0.0$ $0$ $0.233$ $0$ $1.84781$ Modular form 840.1.dh.a.173.1
2-840-840.293-c0-0-0 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.293 $$ $0.0$ $0$ $-0.161$ $0$ $0.232686$ Modular form 840.1.bp.d.293.1
2-840-840.293-c0-0-1 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.293 $$ $0.0$ $0$ $-0.286$ $0$ $0.808146$ Modular form 840.1.bp.b.293.1
2-840-840.293-c0-0-10 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.293 $$ $0.0$ $0$ $0.213$ $0$ $2.29174$ Modular form 840.1.bp.b.293.2
2-840-840.293-c0-0-11 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.293 $$ $0.0$ $0$ $0.463$ $0$ $2.62965$ Modular form 840.1.bp.a.293.2
2-840-840.293-c0-0-2 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.293 $$ $0.0$ $0$ $-0.286$ $0$ $1.04836$ Modular form 840.1.bp.c.293.3
2-840-840.293-c0-0-3 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.293 $$ $0.0$ $0$ $-0.161$ $0$ $1.06855$ Modular form 840.1.bp.d.293.2
2-840-840.293-c0-0-4 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.293 $$ $0.0$ $0$ $-0.286$ $0$ $1.32865$ Modular form 840.1.bp.c.293.4
2-840-840.293-c0-0-5 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.293 $$ $0.0$ $0$ $0.213$ $0$ $1.50985$ Modular form 840.1.bp.c.293.2
2-840-840.293-c0-0-6 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.293 $$ $0.0$ $0$ $-0.161$ $0$ $1.51281$ Modular form 840.1.bp.d.293.3
2-840-840.293-c0-0-7 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.293 $$ $0.0$ $0$ $-0.0368$ $0$ $1.55736$ Modular form 840.1.bp.a.293.1
2-840-840.293-c0-0-8 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.293 $$ $0.0$ $0$ $0.213$ $0$ $1.75471$ Modular form 840.1.bp.c.293.1
2-840-840.293-c0-0-9 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.293 $$ $0.0$ $0$ $-0.161$ $0$ $1.83630$ Modular form 840.1.bp.d.293.4
2-840-840.389-c0-0-0 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.389 $$ $0.0$ $0$ $-0.323$ $0$ $0.780804$ Modular form 840.1.cg.a.389.1
2-840-840.389-c0-0-1 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.389 $$ $0.0$ $0$ $-0.156$ $0$ $1.60111$ Modular form 840.1.cg.b.389.1
2-840-840.389-c0-0-2 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.389 $$ $0.0$ $0$ $0.176$ $0$ $1.84774$ Modular form 840.1.cg.a.389.2
2-840-840.389-c0-0-3 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.389 $$ $0.0$ $0$ $0.343$ $0$ $2.55997$ Modular form 840.1.cg.b.389.2
2-840-840.437-c0-0-0 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.437 $$ $0.0$ $0$ $-0.233$ $0$ $1.29503$ Modular form 840.1.dh.a.437.1
2-840-840.437-c0-0-1 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.437 $$ $0.0$ $0$ $-0.149$ $0$ $1.38728$ Modular form 840.1.dh.b.437.1
2-840-840.437-c0-0-2 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.437 $$ $0.0$ $0$ $0.266$ $0$ $1.68110$ Modular form 840.1.dh.a.437.2
2-840-840.437-c0-0-3 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.437 $$ $0.0$ $0$ $0.350$ $0$ $2.63201$ Modular form 840.1.dh.b.437.2
2-840-840.677-c0-0-0 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.677 $$ $0.0$ $0$ $-0.276$ $0$ $1.12939$ Modular form 840.1.dh.b.677.1
2-840-840.677-c0-0-1 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.677 $$ $0.0$ $0$ $-0.192$ $0$ $1.15029$ Modular form 840.1.dh.a.677.2
2-840-840.677-c0-0-2 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.677 $$ $0.0$ $0$ $0.307$ $0$ $2.22028$ Modular form 840.1.dh.a.677.1
2-840-840.677-c0-0-3 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.677 $$ $0.0$ $0$ $0.223$ $0$ $2.43560$ Modular form 840.1.dh.b.677.2
2-840-840.773-c0-0-0 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.773 $$ $0.0$ $0$ $-0.307$ $0$ $0.784956$ Modular form 840.1.dh.a.773.1
2-840-840.773-c0-0-1 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.773 $$ $0.0$ $0$ $-0.223$ $0$ $1.48934$ Modular form 840.1.dh.b.773.2
2-840-840.773-c0-0-2 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.773 $$ $0.0$ $0$ $0.276$ $0$ $1.87391$ Modular form 840.1.dh.b.773.1
2-840-840.773-c0-0-3 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.773 $$ $0.0$ $0$ $0.192$ $0$ $2.38668$ Modular form 840.1.dh.a.773.2
2-840-840.797-c0-0-0 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.797 $$ $0.0$ $0$ $-0.463$ $0$ $0.403447$ Modular form 840.1.bp.a.797.2
2-840-840.797-c0-0-1 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.797 $$ $0.0$ $0$ $-0.213$ $0$ $0.872934$ Modular form 840.1.bp.c.797.1
2-840-840.797-c0-0-10 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.797 $$ $0.0$ $0$ $0.161$ $0$ $2.25480$ Modular form 840.1.bp.d.797.4
2-840-840.797-c0-0-11 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.797 $$ $0.0$ $0$ $0.286$ $0$ $2.61627$ Modular form 840.1.bp.c.797.4
2-840-840.797-c0-0-2 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.797 $$ $0.0$ $0$ $-0.213$ $0$ $1.26079$ Modular form 840.1.bp.c.797.2
2-840-840.797-c0-0-3 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.797 $$ $0.0$ $0$ $0.286$ $0$ $1.34108$ Modular form 840.1.bp.b.797.1
2-840-840.797-c0-0-4 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.797 $$ $0.0$ $0$ $0.0368$ $0$ $1.46609$ Modular form 840.1.bp.a.797.1
2-840-840.797-c0-0-5 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.797 $$ $0.0$ $0$ $0.161$ $0$ $1.57622$ Modular form 840.1.bp.d.797.1
2-840-840.797-c0-0-6 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.797 $$ $0.0$ $0$ $0.161$ $0$ $1.58331$ Modular form 840.1.bp.d.797.3
2-840-840.797-c0-0-7 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.797 $$ $0.0$ $0$ $-0.213$ $0$ $1.86498$ Modular form 840.1.bp.b.797.2
2-840-840.797-c0-0-8 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.797 $$ $0.0$ $0$ $0.161$ $0$ $2.10125$ Modular form 840.1.bp.d.797.2
2-840-840.797-c0-0-9 $0.647$ $0.419$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 840.797 $$ $0.0$ $0$ $0.286$ $0$ $2.17313$ Modular form 840.1.bp.c.797.3
2-840-1.1-c1-0-0 $2.58$ $6.70$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 1.1 $$ $1.0$ $1$ $0$ $0$ $0.954082$ Elliptic curve 840.c Modular form 840.2.a.c Modular form 840.2.a.c.1.1
2-840-1.1-c1-0-1 $2.58$ $6.70$ $2$ $2^{3} \cdot 3 \cdot 5 \cdot 7$ 1.1 $$ $1.0$ $1$ $0$ $0$ $1.03367$ Elliptic curve 840.e Modular form 840.2.a.e Modular form 840.2.a.e.1.1
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