Properties

Label 281775bi
Number of curves $1$
Conductor $281775$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bi1")
 
E.isogeny_class()
 

Elliptic curves in class 281775bi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
281775.bi1 281775bi1 \([1, 1, 0, -289150, 85152625]\) \(-24529249/14625\) \(-1594069571478515625\) \([]\) \(4230144\) \(2.1951\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 281775bi1 has rank \(1\).

Complex multiplication

The elliptic curves in class 281775bi do not have complex multiplication.

Modular form 281775.2.a.bi

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} - q^{4} - q^{6} - 4 q^{7} - 3 q^{8} + q^{9} + q^{11} + q^{12} + q^{13} - 4 q^{14} - q^{16} + q^{18} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display