Elliptic curve isogeny class with LMFDB label 702.c (Cremona label 702f)

• Label: 702.c
• Number of curves: $1$
• Conductor: $702$
• CM: no
• Rank: $0$

Rank

The elliptic curve 702.c1 has rank $0$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1 + T$
$3$	$1$
$13$	$1 + T$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$5$	$1 + 2 T + 5 T^{2}$	1.5.c
$7$	$1 - 4 T + 7 T^{2}$	1.7.ae
$11$	$1 - 2 T + 11 T^{2}$	1.11.ac
$17$	$1 + 17 T^{2}$	1.17.a
$19$	$1 + 3 T + 19 T^{2}$	1.19.d
$23$	$1 - 4 T + 23 T^{2}$	1.23.ae
$29$	$1 - T + 29 T^{2}$	1.29.ab
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 702.c do not have complex multiplication.

Modular form 702.2.a.c

Elliptic curves in class 702.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
702.c1	702f1	$[1, -1, 0, -648, 9536]$	$-1115480294811/760408064$	$-20531017728$	$[]$	$660$	$0.67922$	$\Gamma_0(N)$-optimal