Properties

Label 930.f
Number of curves $1$
Conductor $930$
CM no
Rank $0$

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

Elliptic curves in class 930.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
930.f1 930f1 \([1, 0, 1, -10400749, 13377941672]\) \(-124427822010671478697670089/5317924709672681472000\) \(-5317924709672681472000\) \([]\) \(91080\) \(2.9349\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 930.f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 930.f do not have complex multiplication.

Modular form 930.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{5} - q^{6} + q^{7} - q^{8} + q^{9} + q^{10} + 5q^{11} + q^{12} + 2q^{13} - q^{14} - q^{15} + q^{16} - 4q^{17} - q^{18} + q^{19} + O(q^{20})\)  Toggle raw display