Properties

Label 277350c
Number of curves $1$
Conductor $277350$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 277350c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
277350.c1 277350c1 \([1, 1, 0, -14830, 1371850]\) \(-456533/774\) \(-611591874990750\) \([]\) \(1774080\) \(1.5279\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 277350c1 has rank \(1\).

Complex multiplication

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

Modular form 277350.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - 5 q^{7} - q^{8} + q^{9} - q^{12} - q^{13} + 5 q^{14} + q^{16} - 4 q^{17} - q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display