Properties

Label 14112bp
Number of curves $1$
Conductor $14112$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bp1")
 
E.isogeny_class()
 

Elliptic curves in class 14112bp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14112.bj1 14112bp1 \([0, 0, 0, -5880, -174832]\) \(-3136000/27\) \(-193572384768\) \([]\) \(13824\) \(0.99074\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14112bp1 has rank \(1\).

Complex multiplication

The elliptic curves in class 14112bp do not have complex multiplication.

Modular form 14112.2.a.bp

sage: E.q_eigenform(10)
 
\(q + 2 q^{11} + 5 q^{13} + 2 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display