Properties

Label 48400.o
Number of curves $1$
Conductor $48400$
CM no
Rank $0$

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

Elliptic curves in class 48400.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
48400.o1 48400df1 \([0, 1, 0, -9947208, -12084790412]\) \(-38401771585/22528\) \(-63855561932800000000\) \([]\) \(1900800\) \(2.7452\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 48400.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 48400.o do not have complex multiplication.

Modular form 48400.2.a.o

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{9} - 3 q^{13} + 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display