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SageMath
E = EllipticCurve("ej1")
E.isogeny_class()
Elliptic curves in class 133200ej
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
133200.ba1 | 133200ej1 | \([0, 0, 0, 41325, -1176750]\) | \(4516672077/2960000\) | \(-5114880000000000\) | \([]\) | \(516096\) | \(1.7031\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 133200ej1 has rank \(1\).
Complex multiplication
The elliptic curves in class 133200ej do not have complex multiplication.Modular form 133200.2.a.ej
sage: E.q_eigenform(10)