Properties

Label 277200.gc
Number of curves $1$
Conductor $277200$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("gc1")
 
E.isogeny_class()
 

Elliptic curves in class 277200.gc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
277200.gc1 277200gc1 \([0, 0, 0, -3005775, 2005934625]\) \(-610325920583424/55240493\) \(-271824655929750000\) \([]\) \(4976640\) \(2.3848\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 277200.gc1 has rank \(0\).

Complex multiplication

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

Modular form 277200.2.a.gc

sage: E.q_eigenform(10)
 
\(q - q^{7} + q^{11} + 3 q^{13} + 6 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display