Properties

Label 281775.bl
Number of curves $1$
Conductor $281775$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("bl1")
 
E.isogeny_class()
 

Elliptic curves in class 281775.bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
281775.bl1 281775bl1 \([1, 1, 0, 4132550, 40145754625]\) \(1982251/177957\) \(-700703567465239634765625\) \([]\) \(37013760\) \(3.2550\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 281775.bl1 has rank \(2\).

Complex multiplication

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

Modular form 281775.2.a.bl

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