Properties

Label 27930h
Number of curves $1$
Conductor $27930$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 27930h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
27930.j1 27930h1 \([1, 1, 0, -4908418, 4183715572]\) \(-38128906520707954899583/1413309943872000\) \(-484765310748096000\) \([]\) \(853632\) \(2.4806\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 27930h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 27930h do not have complex multiplication.

Modular form 27930.2.a.h

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