Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("f1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 10830.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10830.f1 10830f1 \([1, 1, 0, -1117302, -458611884]\) \(-9082538350921/82944000\) \(-1408684652872704000\) \([]\) \(426816\) \(2.3051\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10830.f1 has rank \(0\).

Complex multiplication

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

Modular form 10830.2.a.f

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