Properties

Label 138600.cd
Number of curves $1$
Conductor $138600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cd1")
 
E.isogeny_class()
 

Elliptic curves in class 138600.cd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
138600.cd1 138600cj1 \([0, 0, 0, -75, -1125]\) \(-6912/77\) \(-519750000\) \([]\) \(35840\) \(0.35441\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 138600.cd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 138600.cd do not have complex multiplication.

Modular form 138600.2.a.cd

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