Properties

Label 144864.b
Number of curves $1$
Conductor $144864$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 144864.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
144864.b1 144864a1 \([0, 0, 0, -117, 540]\) \(-3796416/503\) \(-23467968\) \([]\) \(65408\) \(0.14703\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 144864.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 144864.b do not have complex multiplication.

Modular form 144864.2.a.b

sage: E.q_eigenform(10)
 
\(q - 4 q^{5} + 3 q^{7} + 3 q^{11} + 7 q^{13} + 2 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display