Properties

Label 74256.bt
Number of curves $1$
Conductor $74256$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bt1")
 
E.isogeny_class()
 

Elliptic curves in class 74256.bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
74256.bt1 74256cg1 \([0, -1, 0, 216, 3312]\) \(270840023/1364454\) \(-5588803584\) \([]\) \(39168\) \(0.55256\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 74256.bt1 has rank \(1\).

Complex multiplication

The elliptic curves in class 74256.bt do not have complex multiplication.

Modular form 74256.2.a.bt

sage: E.q_eigenform(10)
 
\(q - q^{3} + 3 q^{5} + q^{7} + q^{9} + q^{13} - 3 q^{15} + q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display