Properties

Label 270480.i
Number of curves $1$
Conductor $270480$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 270480.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
270480.i1 270480i1 \([0, -1, 0, -210506, 37242675]\) \(1315840197052976896/84228515625\) \(66035156250000\) \([]\) \(1931904\) \(1.7096\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 270480.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 270480.i do not have complex multiplication.

Modular form 270480.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} - 3 q^{11} - 2 q^{13} + q^{15} + 4 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display