Properties

Label 41400h
Number of curves $1$
Conductor $41400$
CM no
Rank $0$

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

Elliptic curves in class 41400h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
41400.ce1 41400h1 \([0, 0, 0, -975, -12125]\) \(-562432/23\) \(-4191750000\) \([]\) \(30720\) \(0.61391\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 41400h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 41400h do not have complex multiplication.

Modular form 41400.2.a.h

sage: E.q_eigenform(10)
 
\(q + 4 q^{7} + 2 q^{11} - 7 q^{13} - 4 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display