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SageMath
E = EllipticCurve("cj1")
E.isogeny_class()
Elliptic curves in class 61200cj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
61200.q1 | 61200cj1 | \([0, 0, 0, -4755, -134350]\) | \(-63710026/4913\) | \(-916883712000\) | \([]\) | \(103680\) | \(1.0431\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 61200cj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 61200cj do not have complex multiplication.Modular form 61200.2.a.cj
sage: E.q_eigenform(10)