Properties

Label 43350.h
Number of curves $1$
Conductor $43350$
CM no
Rank $2$

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

Elliptic curves in class 43350.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43350.h1 43350o1 \([1, 1, 0, 324975, 3811663125]\) \(34822511/57600000\) \(-6278181696900000000000\) \([]\) \(3231360\) \(2.8616\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43350.h1 has rank \(2\).

Complex multiplication

The elliptic curves in class 43350.h do not have complex multiplication.

Modular form 43350.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - 3 q^{7} - q^{8} + q^{9} + q^{11} - q^{12} - 5 q^{13} + 3 q^{14} + q^{16} - q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display