Properties

Label 24546b
Number of curves $1$
Conductor $24546$
CM no
Rank $0$

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

Elliptic curves in class 24546b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
24546.b1 24546b1 \([1, 0, 1, -66961, 7695332]\) \(-33203218336044207625/6404524235292672\) \(-6404524235292672\) \([]\) \(137640\) \(1.7566\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 24546b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 24546b do not have complex multiplication.

Modular form 24546.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} - q^{8} + q^{9} - 2 q^{11} + q^{12} + 6 q^{13} + q^{16} - q^{18} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display