Properties

Label 225400cv
Number of curves $1$
Conductor $225400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cv1")
 
E.isogeny_class()
 

Elliptic curves in class 225400cv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
225400.cv1 225400cv1 \([0, 0, 0, -10313275, -12933972625]\) \(-4124632486295808/70140333767\) \(-2062985031838445750000\) \([]\) \(16515072\) \(2.8884\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 225400cv1 has rank \(1\).

Complex multiplication

The elliptic curves in class 225400cv do not have complex multiplication.

Modular form 225400.2.a.cv

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + 6 q^{9} + 2 q^{11} - q^{13} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display