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SageMath
E = EllipticCurve("ce1")
E.isogeny_class()
Elliptic curves in class 46200ce
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46200.m1 | 46200ce1 | \([0, -1, 0, -1246833, -535455963]\) | \(2143625552081920/693\) | \(69300000000\) | \([]\) | \(349440\) | \(1.8784\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46200ce1 has rank \(0\).
Complex multiplication
The elliptic curves in class 46200ce do not have complex multiplication.Modular form 46200.2.a.ce
sage: E.q_eigenform(10)