Properties

Label 200277o
Number of curves $1$
Conductor $200277$
CM no
Rank $1$

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

Elliptic curves in class 200277o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
200277.p1 200277o1 \([0, 0, 1, 5202, -33163]\) \(884736/539\) \(-9484399124739\) \([]\) \(286720\) \(1.1793\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 200277o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 200277o do not have complex multiplication.

Modular form 200277.2.a.o

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} - q^{5} + q^{7} - q^{11} - 4 q^{13} + 4 q^{16} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display