Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 141512p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
141512.bj1 141512p1 \([0, 1, 0, -147408, -31243360]\) \(-31250/19\) \(-215374062021859328\) \([]\) \(950400\) \(2.0280\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 141512p1 has rank \(0\).

Complex multiplication

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

Modular form 141512.2.a.p

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