Properties

Label 344760h
Number of curves $1$
Conductor $344760$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 344760h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
344760.h1 344760h1 \([0, -1, 0, -106382176, 422385549676]\) \(-2276286710084294740898/128433112734375\) \(-7512428815987680000000\) \([]\) \(42577920\) \(3.2621\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 344760h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 344760h do not have complex multiplication.

Modular form 344760.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2 q^{7} + q^{9} + 5 q^{11} + q^{15} + q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display