Elliptic curve isogeny class with LMFDB label 20475.t (Cremona label 20475c)

• Label: 20475.t
• Number of curves: $1$
• Conductor: $20475$
• CM: no
• Rank: $0$

Rank

The elliptic curve 20475.t1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(3\)	\(1\)
\(5\)	\(1\)
\(7\)	\(1 + T\)
\(13\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 - T + 2 T^{2}\)	1.2.ab
\(11\)	\( 1 + 4 T + 11 T^{2}\)	1.11.e
\(17\)	\( 1 + 5 T + 17 T^{2}\)	1.17.f
\(19\)	\( 1 + 19 T^{2}\)	1.19.a
\(23\)	\( 1 + 3 T + 23 T^{2}\)	1.23.d
\(29\)	\( 1 + 4 T + 29 T^{2}\)	1.29.e
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 20475.t do not have complex multiplication.

Modular form 20475.2.a.t

Elliptic curves in class 20475.t

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
20475.t1	20475c1	\([1, -1, 0, -9492, -1450459]\)	\(-492075/4459\)	\(-857094697265625\)	\([]\)	\(77760\)	\(1.5479\)	\(\Gamma_0(N)\)-optimal