Properties

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

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Show commands: SageMath
E = EllipticCurve("bh1")
 
E.isogeny_class()
 

Elliptic curves in class 281775bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
281775.bh1 281775bh1 \([1, 1, 0, -1451220875, -60338385759750]\) \(-10730378053390609/43719326015625\) \(-1377154602800645032320556640625\) \([]\) \(467195904\) \(4.4684\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 281775bh1 has rank \(1\).

Complex multiplication

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

Modular form 281775.2.a.bh

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} - q^{4} - q^{6} - 4 q^{7} - 3 q^{8} + q^{9} - 5 q^{11} + q^{12} - q^{13} - 4 q^{14} - q^{16} + q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display