Properties

Label 1400.h
Number of curves $1$
Conductor $1400$
CM no
Rank $1$

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

Elliptic curves in class 1400.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1400.h1 1400e1 \([0, 0, 0, 25, 75]\) \(172800/343\) \(-3430000\) \([]\) \(144\) \(-0.061508\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1400.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1400.h do not have complex multiplication.

Modular form 1400.2.a.h

sage: E.q_eigenform(10)
 
\(q + q^{7} - 3 q^{9} + q^{11} - 2 q^{13} - 4 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display