Properties

Label 114950z
Number of curves $1$
Conductor $114950$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("z1")
 
E.isogeny_class()
 

Elliptic curves in class 114950z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
114950.bh1 114950z1 \([1, 0, 1, -143751, -121254102]\) \(-11867954041/222543200\) \(-6160138342737500000\) \([]\) \(1843200\) \(2.2864\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 114950z1 has rank \(1\).

Complex multiplication

The elliptic curves in class 114950z do not have complex multiplication.

Modular form 114950.2.a.z

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} - q^{7} - q^{8} - 2 q^{9} + q^{12} + q^{13} + q^{14} + q^{16} + q^{17} + 2 q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display