Properties

Label 348075f
Number of curves $1$
Conductor $348075$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 348075f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
348075.f1 348075f1 \([0, 0, 1, -3225, 1029406]\) \(-325660672/40000779\) \(-455633873296875\) \([]\) \(1907712\) \(1.4922\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 348075f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 348075f do not have complex multiplication.

Modular form 348075.2.a.f

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} - q^{7} + 6 q^{11} + q^{13} + 2 q^{14} - 4 q^{16} - q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display