Properties

Label 23400.h
Number of curves $1$
Conductor $23400$
CM no
Rank $1$

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

Elliptic curves in class 23400.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23400.h1 23400bj1 \([0, 0, 0, -75, 790]\) \(-2500/13\) \(-242611200\) \([]\) \(6912\) \(0.29316\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23400.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 23400.h do not have complex multiplication.

Modular form 23400.2.a.h

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} - 3 q^{11} - q^{13} + 3 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display