Properties

Label 241200.ek
Number of curves $1$
Conductor $241200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ek1")
 
E.isogeny_class()
 

Elliptic curves in class 241200.ek

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
241200.ek1 241200ek1 \([0, 0, 0, -1575, 64125]\) \(-2370816/8375\) \(-1526343750000\) \([]\) \(290304\) \(1.0238\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 241200.ek1 has rank \(1\).

Complex multiplication

The elliptic curves in class 241200.ek do not have complex multiplication.

Modular form 241200.2.a.ek

sage: E.q_eigenform(10)
 
\(q + q^{7} + 2 q^{11} + 2 q^{13} - 4 q^{17} + O(q^{20})\) Copy content Toggle raw display