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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 3024.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3024.n1 | 3024e1 | \([0, 0, 0, -362988, -82933524]\) | \(116634423954432/1977326743\) | \(89671040138808576\) | \([]\) | \(31680\) | \(2.0507\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3024.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3024.n do not have complex multiplication.Modular form 3024.2.a.n
sage: E.q_eigenform(10)