Properties

Label 301392.k
Number of curves $1$
Conductor $301392$
CM no
Rank $1$

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

Elliptic curves in class 301392.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
301392.k1 301392k1 \([0, 0, 0, -220464, -55834704]\) \(-396870925750272/221358574619\) \(-660973162075140096\) \([]\) \(4166400\) \(2.1227\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 301392.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 301392.k do not have complex multiplication.

Modular form 301392.2.a.k

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} + q^{7} + 3 q^{11} - q^{13} - 4 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display