Properties

Label 70560eb
Number of curves $1$
Conductor $70560$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("eb1")
 
E.isogeny_class()
 

Elliptic curves in class 70560eb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
70560.cp1 70560eb1 \([0, 0, 0, -147, 826]\) \(-19208/5\) \(-91445760\) \([]\) \(16128\) \(0.24462\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 70560eb1 has rank \(1\).

Complex multiplication

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

Modular form 70560.2.a.eb

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