Properties

Label 34200.p
Number of curves $1$
Conductor $34200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 34200.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
34200.p1 34200bf1 \([0, 0, 0, -1875, 44750]\) \(-31250/19\) \(-443232000000\) \([]\) \(34560\) \(0.93685\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 34200.p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 34200.p do not have complex multiplication.

Modular form 34200.2.a.p

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} - 2 q^{11} - q^{13} - 5 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display