Properties

Label 277200hw
Number of curves $1$
Conductor $277200$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("hw1")
 
E.isogeny_class()
 

Elliptic curves in class 277200hw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
277200.hw1 277200hw1 \([0, 0, 0, -1291800, 565269500]\) \(-81756451446784/24958395\) \(-72778679820000000\) \([]\) \(3317760\) \(2.2127\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 277200hw1 has rank \(2\).

Complex multiplication

The elliptic curves in class 277200hw do not have complex multiplication.

Modular form 277200.2.a.hw

sage: E.q_eigenform(10)
 
\(q + q^{7} - q^{11} - 2 q^{13} - 7 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display