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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 46200e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46200.p1 | 46200e1 | \([0, -1, 0, -154033, -35007563]\) | \(-101043379262464/74271536955\) | \(-297086147820000000\) | \([]\) | \(599040\) | \(2.0522\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46200e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 46200e do not have complex multiplication.Modular form 46200.2.a.e
sage: E.q_eigenform(10)