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SageMath
E = EllipticCurve("cr1")
E.isogeny_class()
Elliptic curves in class 369600.cr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
369600.cr1 | 369600cr1 | \([0, -1, 0, -675333, 183131037]\) | \(5322287088640/821843253\) | \(5259796819200000000\) | \([]\) | \(6451200\) | \(2.3156\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 369600.cr1 has rank \(0\).
Complex multiplication
The elliptic curves in class 369600.cr do not have complex multiplication.Modular form 369600.2.a.cr
sage: E.q_eigenform(10)