Properties

Label 10830.c
Number of curves $1$
Conductor $10830$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 10830.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10830.c1 10830b1 \([1, 1, 0, -5118, -144012]\) \(-41081844659329/314572800\) \(-113560780800\) \([]\) \(15840\) \(0.95104\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10830.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 10830.c do not have complex multiplication.

Modular form 10830.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} - q^{7} - q^{8} + q^{9} + q^{10} + 2q^{11} - q^{12} + 3q^{13} + q^{14} + q^{15} + q^{16} + 4q^{17} - q^{18} + O(q^{20})\)  Toggle raw display