Properties

Label 243008.b
Number of curves $1$
Conductor $243008$
CM no
Rank $1$

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

Elliptic curves in class 243008.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
243008.b1 243008b1 \([0, 1, 0, -101, 67]\) \(7023616/3797\) \(62210048\) \([]\) \(146432\) \(0.18652\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 243008.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 243008.b do not have complex multiplication.

Modular form 243008.2.a.b

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + 4 q^{5} + 2 q^{7} + q^{9} - 6 q^{11} + q^{13} - 8 q^{15} - 8 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display