Properties

Label 235200be
Number of curves $1$
Conductor $235200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 235200be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
235200.be1 235200be1 \([0, -1, 0, -234417633, 1589249707137]\) \(-1231272543361/230400000\) \(-266577090025881600000000000\) \([]\) \(100638720\) \(3.7949\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 235200be1 has rank \(1\).

Complex multiplication

The elliptic curves in class 235200be do not have complex multiplication.

Modular form 235200.2.a.be

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