Properties

Label 13950.f
Number of curves $1$
Conductor $13950$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 13950.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13950.f1 13950q1 \([1, -1, 0, 21933, -691659]\) \(102437538839/77137920\) \(-878649120000000\) \([]\) \(84480\) \(1.5556\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13950.f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 13950.f do not have complex multiplication.

Modular form 13950.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 3 q^{7} - q^{8} - 3 q^{11} + 2 q^{13} + 3 q^{14} + q^{16} + 8 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display