Properties

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

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Show commands: SageMath
E = EllipticCurve("ea1")
 
E.isogeny_class()
 

Elliptic curves in class 70560ea

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
70560.dw1 70560ea1 \([0, 0, 0, -32907, -2297666]\) \(-215474070728/3645\) \(-66663959040\) \([]\) \(101376\) \(1.2070\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 70560ea1 has rank \(1\).

Complex multiplication

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

Modular form 70560.2.a.ea

sage: E.q_eigenform(10)
 
\(q + q^{5} + 3 q^{11} + q^{13} + 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display