Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 7938.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7938.q1 7938bb1 \([1, -1, 1, -1217, -14255]\) \(68841801/8192\) \(23702740992\) \([]\) \(11232\) \(0.72180\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7938.q1 has rank \(1\).

Complex multiplication

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

Modular form 7938.2.a.q

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