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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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Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim arith $\mathbb{Q}$ self-dual $\operatorname{Arg}(\epsilon)$ $r$ First zero Origin
2-1944-1.1-c1-0-0 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.447326$ Modular form 1944.2.a.q.1.1
2-1944-1.1-c1-0-1 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.500703$ Modular form 1944.2.a.l.1.1
2-1944-1.1-c1-0-10 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.987116$ Modular form 1944.2.a.q.1.2
2-1944-1.1-c1-0-11 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.06713$ Modular form 1944.2.a.n.1.1
2-1944-1.1-c1-0-12 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.07996$ Elliptic curve 1944.h Modular form 1944.2.a.h Modular form 1944.2.a.h.1.1
2-1944-1.1-c1-0-13 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.13057$ Modular form 1944.2.a.r.1.6
2-1944-1.1-c1-0-14 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.17812$ Modular form 1944.2.a.q.1.5
2-1944-1.1-c1-0-15 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.18747$ Modular form 1944.2.a.q.1.6
2-1944-1.1-c1-0-16 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.21824$ Modular form 1944.2.a.r.1.5
2-1944-1.1-c1-0-17 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.23360$ Elliptic curve 1944.j Modular form 1944.2.a.j Modular form 1944.2.a.j.1.1
2-1944-1.1-c1-0-18 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.23476$ Elliptic curve 1944.i Modular form 1944.2.a.i Modular form 1944.2.a.i.1.1
2-1944-1.1-c1-0-19 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.28531$ Modular form 1944.2.a.r.1.4
2-1944-1.1-c1-0-2 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.553870$ Modular form 1944.2.a.r.1.3
2-1944-1.1-c1-0-20 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.29077$ Modular form 1944.2.a.l.1.2
2-1944-1.1-c1-0-21 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.44001$ Modular form 1944.2.a.k.1.1
2-1944-1.1-c1-0-22 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $1.50501$ Elliptic curve 1944.a Modular form 1944.2.a.a Modular form 1944.2.a.a.1.1
2-1944-1.1-c1-0-23 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $1.54470$ Elliptic curve 1944.c Modular form 1944.2.a.c Modular form 1944.2.a.c.1.1
2-1944-1.1-c1-0-24 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.54824$ Modular form 1944.2.a.p.1.1
2-1944-1.1-c1-0-25 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.56455$ Modular form 1944.2.a.m.1.1
2-1944-1.1-c1-0-26 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.58990$ Modular form 1944.2.a.o.1.1
2-1944-1.1-c1-0-27 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.62820$ Modular form 1944.2.a.p.1.2
2-1944-1.1-c1-0-28 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $1.65599$ Elliptic curve 1944.d Modular form 1944.2.a.d Modular form 1944.2.a.d.1.1
2-1944-1.1-c1-0-29 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.69338$ Modular form 1944.2.a.o.1.2
2-1944-1.1-c1-0-3 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.645666$ Modular form 1944.2.a.r.1.1
2-1944-1.1-c1-0-30 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.73295$ Modular form 1944.2.a.o.1.3
2-1944-1.1-c1-0-31 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.79108$ Modular form 1944.2.a.m.1.2
2-1944-1.1-c1-0-32 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $1.79833$ Elliptic curve 1944.f Modular form 1944.2.a.f Modular form 1944.2.a.f.1.1
2-1944-1.1-c1-0-33 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $1.81068$ Elliptic curve 1944.g Modular form 1944.2.a.g Modular form 1944.2.a.g.1.1
2-1944-1.1-c1-0-34 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.94127$ Modular form 1944.2.a.k.1.2
2-1944-1.1-c1-0-35 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.99124$ Modular form 1944.2.a.p.1.3
2-1944-1.1-c1-0-4 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $0.655085$ Elliptic curve 1944.b Modular form 1944.2.a.b Modular form 1944.2.a.b.1.1
2-1944-1.1-c1-0-5 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.845780$ Modular form 1944.2.a.r.1.2
2-1944-1.1-c1-0-6 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $0.862900$ Elliptic curve 1944.e Modular form 1944.2.a.e Modular form 1944.2.a.e.1.1
2-1944-1.1-c1-0-7 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.870602$ Modular form 1944.2.a.q.1.4
2-1944-1.1-c1-0-8 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.917773$ Modular form 1944.2.a.q.1.3
2-1944-1.1-c1-0-9 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.929142$ Modular form 1944.2.a.n.1.2
2-1944-9.4-c1-0-0 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 9.4 $1.0$ $1$ ✓ ✓ $-0.388$ $0$ $0.178881$ Modular form 1944.2.i.o.1297.3
2-1944-9.4-c1-0-1 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 9.4 $1.0$ $1$ ✓ ✓ $-0.444$ $0$ $0.200668$ Modular form 1944.2.i.c.1297.1
2-1944-9.4-c1-0-10 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 9.4 $1.0$ $1$ ✓ ✓ $-0.222$ $0$ $0.671299$ Modular form 1944.2.i.q.1297.4
2-1944-9.4-c1-0-11 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 9.4 $1.0$ $1$ ✓ ✓ $-0.111$ $0$ $0.720415$ Modular form 1944.2.i.a.1297.1
2-1944-9.4-c1-0-12 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 9.4 $1.0$ $1$ ✓ ✓ $-0.222$ $0$ $0.791566$ Modular form 1944.2.i.r.1297.3
2-1944-9.4-c1-0-13 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 9.4 $1.0$ $1$ ✓ ✓ $-0.111$ $0$ $0.808038$ Modular form 1944.2.i.i.1297.1
2-1944-9.4-c1-0-14 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 9.4 $1.0$ $1$ ✓ ✓ $-0.0555$ $0$ $0.863029$ Modular form 1944.2.i.o.1297.2
2-1944-9.4-c1-0-15 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 9.4 $1.0$ $1$ ✓ ✓ $-0.0555$ $0$ $0.868598$ Modular form 1944.2.i.p.1297.2
2-1944-9.4-c1-0-16 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 9.4 $1.0$ $1$ ✓ ✓ $-0.277$ $0$ $0.931682$ Modular form 1944.2.i.l.1297.1
2-1944-9.4-c1-0-17 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 9.4 $1.0$ $1$ ✓ ✓ $0.0555$ $0$ $0.949744$ Modular form 1944.2.i.n.1297.1
2-1944-9.4-c1-0-18 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 9.4 $1.0$ $1$ ✓ ✓ $0.111$ $0$ $0.993472$ Modular form 1944.2.i.r.1297.2
2-1944-9.4-c1-0-19 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 9.4 $1.0$ $1$ ✓ ✓ $0.0555$ $0$ $1.03932$ Modular form 1944.2.i.h.1297.1
2-1944-9.4-c1-0-2 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 9.4 $1.0$ $1$ ✓ ✓ $0.444$ $0$ $0.214047$ Modular form 1944.2.i.r.1297.1
2-1944-9.4-c1-0-20 $3.93$ $15.5$ $2$ $2^{3} \cdot 3^{5}$ 9.4 $1.0$ $1$ ✓ ✓ $0.0555$ $0$ $1.07963$ Modular form 1944.2.i.n.1297.2
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