Elliptic curve isogeny class with LMFDB label 267036.t (Cremona label 267036t)

• Label: 267036.t
• Number of curves: $1$
• Conductor: $267036$
• CM: no
• Rank: $1$

Rank

The elliptic curve 267036.t1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 + T\)
\(7\)	\(1 - T\)
\(11\)	\(1 + T\)
\(17\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 - T + 5 T^{2}\)	1.5.ab
\(13\)	\( 1 - T + 13 T^{2}\)	1.13.ab
\(19\)	\( 1 - 3 T + 19 T^{2}\)	1.19.ad
\(23\)	\( 1 + 6 T + 23 T^{2}\)	1.23.g
\(29\)	\( 1 + 7 T + 29 T^{2}\)	1.29.h
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 267036.t do not have complex multiplication.

Modular form 267036.2.a.t

Elliptic curves in class 267036.t

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
267036.t1	267036t1	\([0, -1, 0, -493130, -133126587]\)	\(-34339609640704/916839\)	\(-354084233990256\)	\([]\)	\(1774080\)	\(1.8967\)	\(\Gamma_0(N)\)-optimal