Properties

Label 152460bu
Number of curves $1$
Conductor $152460$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bu1")
 
E.isogeny_class()
 

Elliptic curves in class 152460bu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
152460.u1 152460bu1 \([0, 0, 0, -2715768, 1722610692]\) \(-330287698649088/21875\) \(-146709208800000\) \([]\) \(1866240\) \(2.1753\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 152460bu1 has rank \(1\).

Complex multiplication

The elliptic curves in class 152460bu do not have complex multiplication.

Modular form 152460.2.a.bu

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