Elliptic curve isogeny class with Cremona label 61370t (LMFDB label 61370.m)

• Label: 61370t
• Number of curves: $1$
• Conductor: $61370$
• CM: no
• Rank: $0$

Rank

The elliptic curve 61370t1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(5\)	\(1 + T\)
\(17\)	\(1 + T\)
\(19\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 3 T^{2}\)	1.3.a
\(7\)	\( 1 - 2 T + 7 T^{2}\)	1.7.ac
\(11\)	\( 1 - 2 T + 11 T^{2}\)	1.11.ac
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(23\)	\( 1 - 2 T + 23 T^{2}\)	1.23.ac
\(29\)	\( 1 + 4 T + 29 T^{2}\)	1.29.e
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 61370t do not have complex multiplication.

Modular form 61370.2.a.t

Elliptic curves in class 61370t

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
61370.m1	61370t1	\([1, -1, 1, -3678, 86871]\)	\(-116930169/170\)	\(-7997799770\)	\([]\)	\(140760\)	\(0.80225\)	\(\Gamma_0(N)\)-optimal