Properties

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

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 79560.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
79560.t1 79560m1 \([0, 0, 0, -4143, -106693]\) \(-674250071296/31416255\) \(-366439198320\) \([]\) \(107520\) \(0.98219\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 79560.t1 has rank \(1\).

Complex multiplication

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

Modular form 79560.2.a.t

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