Properties

Label 48510e
Number of curves $1$
Conductor $48510$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 48510e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
48510.m1 48510e1 \([1, -1, 0, -7170, -263404]\) \(-42269574627/7040000\) \(-6789847680000\) \([]\) \(161280\) \(1.1893\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 48510e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 48510e do not have complex multiplication.

Modular form 48510.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - q^{8} + q^{10} - q^{11} + 6 q^{13} + q^{16} + 5 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display