Properties

Label 277200.h
Number of curves $1$
Conductor $277200$
CM no
Rank $1$

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

Elliptic curves in class 277200.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
277200.h1 277200h1 \([0, 0, 0, -18000, 2350000]\) \(-2985984/9317\) \(-2012472000000000\) \([]\) \(1228800\) \(1.6231\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 277200.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 277200.h do not have complex multiplication.

Modular form 277200.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{7} - q^{11} - 4 q^{13} - 5 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display