Properties

Label 79560c
Number of curves $1$
Conductor $79560$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 79560c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
79560.c1 79560c1 \([0, 0, 0, -828, 9332]\) \(-9082616832/186745\) \(-1290781440\) \([]\) \(40704\) \(0.53973\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 79560c1 has rank \(2\).

Complex multiplication

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

Modular form 79560.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{5} - 4 q^{7} + 2 q^{11} + q^{13} - q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display