Elliptic curve isogeny class with Cremona label 150480ba (LMFDB label 150480.dq)

• Label: 150480ba
• Number of curves: $2$
• Conductor: $150480$
• CM: no
• Rank: $1$

Rank

The elliptic curves in class 150480ba have rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1 + T\)
\(11\)	\(1 + T\)
\(19\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 7 T^{2}\)	1.7.a
\(13\)	\( 1 - 4 T + 13 T^{2}\)	1.13.ae
\(17\)	\( 1 - 2 T + 17 T^{2}\)	1.17.ac
\(23\)	\( 1 - 4 T + 23 T^{2}\)	1.23.ae
\(29\)	\( 1 - 2 T + 29 T^{2}\)	1.29.ac
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 150480ba do not have complex multiplication.

Modular form 150480.2.a.ba

Isogeny matrix

The \(i,j\) entry is the smallest degree of a cyclic isogeny between the \(i\)-th and \(j\)-th curve in the isogeny class, in the Cremona numbering.

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.

Elliptic curves in class 150480ba

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
150480.dq2	150480ba1	\([0, 0, 0, -867, -7774]\)	\(24137569/5225\)	\(15601766400\)	\([2]\)	\(98304\)	\(0.66984\)	\(\Gamma_0(N)\)-optimal
150480.dq1	150480ba2	\([0, 0, 0, -4467, 108146]\)	\(3301293169/218405\)	\(652153835520\)	\([2]\)	\(196608\)	\(1.0164\)