Properties

Label 100008b
Number of curves $1$
Conductor $100008$
CM no
Rank $1$

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

Elliptic curves in class 100008b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
100008.a1 100008b1 \([0, 0, 0, -459, -5994]\) \(-530604/463\) \(-9331946496\) \([]\) \(65088\) \(0.61035\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 100008b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 100008b do not have complex multiplication.

Modular form 100008.2.a.b

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