Properties

Label 7938.a
Number of curves $1$
Conductor $7938$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 7938.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7938.a1 7938c1 \([1, -1, 0, -6624, -183296]\) \(68841801/8192\) \(3825245233152\) \([]\) \(26208\) \(1.1455\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7938.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 7938.a do not have complex multiplication.

Modular form 7938.2.a.a

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