Properties

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

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 277200.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
277200.g1 277200g1 \([0, 0, 0, -126075, -34944950]\) \(-237505212050/427901859\) \(-399283782670080000\) \([]\) \(3981312\) \(2.0676\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 277200.g1 has rank \(1\).

Complex multiplication

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

Modular form 277200.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{7} - q^{11} - 5 q^{13} + 6 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display