Properties

Label 198900.h
Number of curves $1$
Conductor $198900$
CM no
Rank $2$

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

Elliptic curves in class 198900.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
198900.h1 198900b1 \([0, 0, 0, -14745, 695225]\) \(-243164694272/2490891\) \(-3631719078000\) \([]\) \(350208\) \(1.2281\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 198900.h1 has rank \(2\).

Complex multiplication

The elliptic curves in class 198900.h do not have complex multiplication.

Modular form 198900.2.a.h

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