Properties

Label 418950k
Number of curves $1$
Conductor $418950$
CM no
Rank $1$

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

Elliptic curves in class 418950k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
418950.k1 418950k1 \([1, -1, 0, -373532742, 2778806436916]\) \(-172041783999846385/1179967488\) \(-39531732168700800000000\) \([]\) \(100638720\) \(3.5166\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 418950k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 418950k do not have complex multiplication.

Modular form 418950.2.a.k

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