Properties

Label 79560.s
Number of curves $1$
Conductor $79560$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 79560.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
79560.s1 79560bl1 \([0, 0, 0, -120108, 148302052]\) \(-1026767289066496/50316682419315\) \(-9390300539822242560\) \([]\) \(1697280\) \(2.3205\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 79560.s1 has rank \(0\).

Complex multiplication

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

Modular form 79560.2.a.s

sage: E.q_eigenform(10)
 
\(q - q^{5} + 2 q^{7} + 6 q^{11} + q^{13} - q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display