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SageMath
E = EllipticCurve("ce1")
E.isogeny_class()
Elliptic curves in class 144400ce
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
144400.w1 | 144400ce1 | \([0, -1, 0, -10608, 424087]\) | \(1462911232\) | \(90250000\) | \([]\) | \(108864\) | \(0.84149\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 144400ce1 has rank \(0\).
Complex multiplication
The elliptic curves in class 144400ce do not have complex multiplication.Modular form 144400.2.a.ce
sage: E.q_eigenform(10)