Properties

Label 422370.o
Number of curves $1$
Conductor $422370$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 422370.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
422370.o1 422370o1 \([1, -1, 0, -20422305915, 1123329736621925]\) \(-132568258133697308147912389803/719912960000000000\) \(-5115386891796480000000000\) \([]\) \(646704000\) \(4.3560\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 422370.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 422370.o do not have complex multiplication.

Modular form 422370.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - 2 q^{7} - q^{8} + q^{10} + 2 q^{11} - q^{13} + 2 q^{14} + q^{16} + 6 q^{17} + O(q^{20})\) Copy content Toggle raw display