Properties

Label 46200.o
Number of curves $1$
Conductor $46200$
CM no
Rank $0$

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

Elliptic curves in class 46200.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
46200.o1 46200d1 \([0, -1, 0, -308, 69237]\) \(-12967168/8251551\) \(-2062887750000\) \([]\) \(72576\) \(1.0420\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 46200.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 46200.o do not have complex multiplication.

Modular form 46200.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} + q^{11} + 3 q^{13} - 4 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display