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SageMath
E = EllipticCurve("ej1")
E.isogeny_class()
Elliptic curves in class 144150ej
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
144150.b1 | 144150ej1 | \([1, 1, 0, -360875, -90787875]\) | \(-360187951921/37500000\) | \(-541125585937500000\) | \([]\) | \(3456000\) | \(2.1419\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 144150ej1 has rank \(1\).
Complex multiplication
The elliptic curves in class 144150ej do not have complex multiplication.Modular form 144150.2.a.ej
sage: E.q_eigenform(10)