Elliptic curve isogeny class with LMFDB label 304200.o (Cremona label 304200o)

• Label: 304200.o
• Number of curves: $1$
• Conductor: $304200$
• CM: no
• Rank: $0$

Rank

The elliptic curve 304200.o1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1\)
\(13\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 3 T + 7 T^{2}\)	1.7.d
\(11\)	\( 1 + 5 T + 11 T^{2}\)	1.11.f
\(17\)	\( 1 - 3 T + 17 T^{2}\)	1.17.ad
\(19\)	\( 1 + 5 T + 19 T^{2}\)	1.19.f
\(23\)	\( 1 + 3 T + 23 T^{2}\)	1.23.d
\(29\)	\( 1 - 5 T + 29 T^{2}\)	1.29.af
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 304200.o do not have complex multiplication.

Modular form 304200.2.a.o

Isogeny graph

Elliptic curves in class 304200.o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
304200.o1	304200o1	\([0, 0, 0, -39051675, -93212393625]\)	\(44302512384/390625\)	\(58073017149316406250000\)	\([]\)	\(33546240\)	\(3.1915\)	\(\Gamma_0(N)\)-optimal