Properties

Label 277350.g
Number of curves $1$
Conductor $277350$
CM no
Rank $1$

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

Elliptic curves in class 277350.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
277350.g1 277350g1 \([1, 1, 0, -393875, -95746875]\) \(-126504750721/675000\) \(-36057666796875000\) \([]\) \(3810240\) \(2.0217\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 277350.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 277350.g do not have complex multiplication.

Modular form 277350.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - 4 q^{7} - q^{8} + q^{9} + 4 q^{11} - q^{12} - q^{13} + 4 q^{14} + q^{16} - 5 q^{17} - q^{18} + O(q^{20})\) Copy content Toggle raw display