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SageMath
E = EllipticCurve("lx1")
E.isogeny_class()
Elliptic curves in class 487872lx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
487872.lx1 | 487872lx1 | \([0, 0, 0, -3050652, -2043854318]\) | \(313944395776/1240029\) | \(12401688693111246144\) | \([]\) | \(14868480\) | \(2.5209\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 487872lx1 has rank \(0\).
Complex multiplication
The elliptic curves in class 487872lx do not have complex multiplication.Modular form 487872.2.a.lx
sage: E.q_eigenform(10)