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SageMath
E = EllipticCurve("gx1")
E.isogeny_class()
Elliptic curves in class 241200.gx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
241200.gx1 | 241200gx1 | \([0, 0, 0, -271425, 54428875]\) | \(-12134048168704/209375\) | \(-38158593750000\) | \([]\) | \(1555200\) | \(1.7350\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 241200.gx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 241200.gx do not have complex multiplication.Modular form 241200.2.a.gx
sage: E.q_eigenform(10)