Properties

Label 70560.n
Number of curves $1$
Conductor $70560$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 70560.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
70560.n1 70560ct1 \([0, 0, 0, -7203, -283318]\) \(-19208/5\) \(-10758502218240\) \([]\) \(112896\) \(1.2176\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 70560.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 70560.n do not have complex multiplication.

Modular form 70560.2.a.n

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