Properties

Label 34969c
Number of curves $1$
Conductor $34969$
CM no
Rank $1$

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

Elliptic curves in class 34969c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
34969.g1 34969c1 \([0, 1, 1, 1282197, -578352615]\) \(4096000/4913\) \(-279624009566694318427\) \([]\) \(1140480\) \(2.6095\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 34969c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 34969c do not have complex multiplication.

Modular form 34969.2.a.c

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