Properties

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

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 70560.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
70560.r1 70560c1 \([0, 0, 0, 31752, -1502928]\) \(18289152/15625\) \(-3024568512000000\) \([]\) \(221184\) \(1.6581\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 70560.r1 has rank \(1\).

Complex multiplication

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

Modular form 70560.2.a.r

sage: E.q_eigenform(10)
 
\(q - q^{5} - 2 q^{11} - q^{13} + 4 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display