Properties

Label 79350.x
Number of curves $1$
Conductor $79350$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 79350.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
79350.x1 79350x1 \([1, 1, 0, -13500, -438300]\) \(2941225/828\) \(76608572557500\) \([]\) \(506880\) \(1.3711\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 79350.x1 has rank \(1\).

Complex multiplication

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

Modular form 79350.2.a.x

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