Properties

Label 412224.y
Number of curves $1$
Conductor $412224$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 412224.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
412224.y1 412224y1 \([0, -1, 0, 5, 133]\) \(175616/122379\) \(-7832256\) \([]\) \(69888\) \(0.0018532\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 412224.y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 412224.y do not have complex multiplication.

Modular form 412224.2.a.y

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + 4 q^{7} + q^{9} - 6 q^{11} + q^{13} - q^{15} + 3 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display