Elliptic curve isogeny class with LMFDB label 100510.d (Cremona label 100510f)

• Label: 100510.d
• Number of curves: $1$
• Conductor: $100510$
• CM: no
• Rank: $0$

Rank

The elliptic curve 100510.d1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(5\)	\(1 - T\)
\(19\)	\(1 - T\)
\(23\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + T + 3 T^{2}\)	1.3.b
\(7\)	\( 1 - T + 7 T^{2}\)	1.7.ab
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(13\)	\( 1 + 3 T + 13 T^{2}\)	1.13.d
\(17\)	\( 1 - 7 T + 17 T^{2}\)	1.17.ah
\(29\)	\( 1 + 5 T + 29 T^{2}\)	1.29.f
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 100510.d do not have complex multiplication.

Modular form 100510.2.a.d

Elliptic curves in class 100510.d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
100510.d1	100510f1	\([1, 1, 0, 783, -15629]\)	\(357911/950\)	\(-140634094550\)	\([]\)	\(96976\)	\(0.82278\)	\(\Gamma_0(N)\)-optimal