Properties

Label 124950k
Number of curves $1$
Conductor $124950$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 124950k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
124950.bl1 124950k1 \([1, 1, 0, -2699925, 1748710125]\) \(-1184052061112257/34349180544\) \(-63142917840954000000\) \([]\) \(4354560\) \(2.5785\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 124950k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 124950k do not have complex multiplication.

Modular form 124950.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{8} + q^{9} + q^{11} - q^{12} + q^{13} + q^{16} - q^{17} - q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display