Properties

Label 79560.g
Number of curves $1$
Conductor $79560$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 79560.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
79560.g1 79560k1 \([0, 0, 0, -1272963, 1055431262]\) \(-152796558778456322/233895263671875\) \(-349203757500000000000\) \([]\) \(2396160\) \(2.6334\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 79560.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 79560.g do not have complex multiplication.

Modular form 79560.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{5} - 2 q^{7} - q^{11} + q^{13} - q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display