Properties

Label 200277q
Number of curves $1$
Conductor $200277$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 200277q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
200277.q1 200277q1 \([0, 0, 1, 47328, 16952778]\) \(55648414859264/621508960611\) \(-130940129330486091\) \([]\) \(1327104\) \(1.9654\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 200277q1 has rank \(2\).

Complex multiplication

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

Modular form 200277.2.a.q

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