Properties

 Label 154800bj Number of curves $2$ Conductor $154800$ CM no Rank $1$ Graph

Related objects

Show commands for: SageMath
sage: E = EllipticCurve("bj1")

sage: E.isogeny_class()

Elliptic curves in class 154800bj

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
154800.h2 154800bj1 [0, 0, 0, -36921675, -89544415750] [2] 23224320 $$\Gamma_0(N)$$-optimal
154800.h1 154800bj2 [0, 0, 0, -596793675, -5611561951750] [2] 46448640

Rank

sage: E.rank()

The elliptic curves in class 154800bj have rank $$1$$.

Complex multiplication

The elliptic curves in class 154800bj do not have complex multiplication.

Modular form 154800.2.a.bj

sage: E.q_eigenform(10)

$$q - 4q^{7} - 4q^{11} - 4q^{13} + 4q^{17} - 4q^{19} + O(q^{20})$$

Isogeny matrix

sage: E.isogeny_class().matrix()

The $$i,j$$ entry is the smallest degree of a cyclic isogeny between the $$i$$-th and $$j$$-th curve in the isogeny class, in the Cremona numbering.

$$\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)$$

Isogeny graph

sage: E.isogeny_graph().plot(edge_labels=True)

The vertices are labelled with Cremona labels.