Elliptic curve isogeny class with LMFDB label 361998.t (Cremona label 361998t)

• Label: 361998.t
• Number of curves: $1$
• Conductor: $361998$
• CM: no
• Rank: $0$

Rank

The elliptic curve 361998.t1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1\)
\(7\)	\(1 - T\)
\(13\)	\(1\)
\(17\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + T + 5 T^{2}\)	1.5.b
\(11\)	\( 1 - 5 T + 11 T^{2}\)	1.11.af
\(19\)	\( 1 + 4 T + 19 T^{2}\)	1.19.e
\(23\)	\( 1 - T + 23 T^{2}\)	1.23.ab
\(29\)	\( 1 + T + 29 T^{2}\)	1.29.b
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 361998.t do not have complex multiplication.

Modular form 361998.2.a.t

Elliptic curves in class 361998.t

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
361998.t1	361998t1	\([1, -1, 0, -6530445, -16061353151]\)	\(-51793794721201/157466598156\)	\(-93640299060816928697004\)	\([]\)	\(36661248\)	\(3.0945\)	\(\Gamma_0(N)\)-optimal