Properties

Label 38025.o
Number of curves $1$
Conductor $38025$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 38025.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38025.o1 38025cl1 \([1, -1, 1, -133880, -28103578]\) \(-4225/3\) \(-188435326046101875\) \([]\) \(314496\) \(2.0147\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38025.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 38025.o do not have complex multiplication.

Modular form 38025.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{4} - 3 q^{7} + 3 q^{8} - 2 q^{11} + 3 q^{14} - q^{16} - 2 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display