Properties

Label 14994.bg
Number of curves $1$
Conductor $14994$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bg1")
 
E.isogeny_class()
 

Elliptic curves in class 14994.bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14994.bg1 14994o1 \([1, -1, 0, -3978, -99212]\) \(-3977954113/176256\) \(-308505988224\) \([]\) \(21504\) \(0.96949\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14994.bg1 has rank \(0\).

Complex multiplication

The elliptic curves in class 14994.bg do not have complex multiplication.

Modular form 14994.2.a.bg

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 3 q^{5} - q^{8} - 3 q^{10} - 2 q^{11} + q^{16} - q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display