Properties

Label 14700m
Number of curves $1$
Conductor $14700$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 14700m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14700.w1 14700m1 \([0, -1, 0, -9998, 388137]\) \(-805661175040/729\) \(-100018800\) \([]\) \(13824\) \(0.83337\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14700m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 14700m do not have complex multiplication.

Modular form 14700.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} + 5 q^{11} + 2 q^{13} + 2 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display