Properties

Label 348.c
Number of curves $1$
Conductor $348$
CM no
Rank $1$

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

Elliptic curves in class 348.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
348.c1 348d1 \([0, 1, 0, -50, 129]\) \(-881395456/63423\) \(-1014768\) \([]\) \(84\) \(-0.097734\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 348.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 348.c do not have complex multiplication.

Modular form 348.2.a.c

sage: E.q_eigenform(10)
 
\(q + q^{3} - 4 q^{5} - 3 q^{7} + q^{9} - q^{11} - 3 q^{13} - 4 q^{15} - 5 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display