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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 145200.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
145200.j1 | 145200et1 | \([0, -1, 0, -128, -768]\) | \(-18865/12\) | \(-148684800\) | \([]\) | \(48384\) | \(0.26953\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145200.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 145200.j do not have complex multiplication.Modular form 145200.2.a.j
sage: E.q_eigenform(10)