Properties

Label 60840.r
Number of curves $1$
Conductor $60840$
CM no
Rank $0$

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

Elliptic curves in class 60840.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
60840.r1 60840j1 \([0, 0, 0, 14782092, -14395262492]\) \(396555344454656/328867205355\) \(-296243053322345482279680\) \([]\) \(7096320\) \(3.1915\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 60840.r1 has rank \(0\).

Complex multiplication

The elliptic curves in class 60840.r do not have complex multiplication.

Modular form 60840.2.a.r

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{7} - 5 q^{11} - 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display