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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 8280.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8280.u1 | 8280n1 | \([0, 0, 0, -1812, -29756]\) | \(-3525581824/9315\) | \(-1738402560\) | \([]\) | \(6144\) | \(0.64805\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8280.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8280.u do not have complex multiplication.Modular form 8280.2.a.u
sage: E.q_eigenform(10)