Properties

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

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 14994.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14994.s1 14994be1 \([1, -1, 0, 75, -3403]\) \(1296351/139264\) \(-4974649344\) \([]\) \(9984\) \(0.54004\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14994.s1 has rank \(0\).

Complex multiplication

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

Modular form 14994.2.a.s

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - q^{8} + q^{10} + 6 q^{11} - 4 q^{13} + q^{16} + q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display