Properties

Label 141512.j
Number of curves $1$
Conductor $141512$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 141512.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
141512.j1 141512bc1 \([0, -1, 0, -7506032, -7912727339]\) \(1462911232\) \(31969587331369744\) \([]\) \(3677184\) \(2.4819\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 141512.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 141512.j do not have complex multiplication.

Modular form 141512.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} - 2 q^{9} - 4 q^{11} + 5 q^{13} + 3 q^{15} + 5 q^{17} + O(q^{20})\) Copy content Toggle raw display