Properties

Label 79350v
Number of curves $1$
Conductor $79350$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 79350v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
79350.v1 79350v1 \([1, 1, 0, 158425, 45386325]\) \(8984375/23328\) \(-1141774165396980000\) \([]\) \(1192320\) \(2.1486\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 79350v1 has rank \(1\).

Complex multiplication

The elliptic curves in class 79350v do not have complex multiplication.

Modular form 79350.2.a.v

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