Properties

Label 124.b
Number of curves $1$
Conductor $124$
CM no
Rank $0$

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

Elliptic curves in class 124.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
124.b1 124b1 \([0, 0, 0, -17, -27]\) \(-33958656/31\) \(-496\) \([]\) \(6\) \(-0.55899\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 124.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 124.b do not have complex multiplication.

Modular form 124.2.a.b

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