Properties

Label 265200.ev
Number of curves $1$
Conductor $265200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ev1")
 
E.isogeny_class()
 

Elliptic curves in class 265200.ev

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
265200.ev1 265200ev1 \([0, 1, 0, -96408, -12040812]\) \(-1548415333009/77332320\) \(-4949268480000000\) \([]\) \(1290240\) \(1.7725\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 265200.ev1 has rank \(1\).

Complex multiplication

The elliptic curves in class 265200.ev do not have complex multiplication.

Modular form 265200.2.a.ev

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{7} + q^{9} + q^{11} + q^{13} + q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display