Properties

Label 270480b
Number of curves $1$
Conductor $270480$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 270480b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
270480.b1 270480b1 \([0, -1, 0, -45236, -12983760]\) \(-816112168883536/5346826171875\) \(-67070587500000000\) \([]\) \(2280960\) \(1.9121\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 270480b1 has rank \(0\).

Complex multiplication

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

Modular form 270480.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} - 6 q^{11} + 4 q^{13} + q^{15} - 5 q^{17} + O(q^{20})\) Copy content Toggle raw display