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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 185900.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
185900.r1 | 185900u1 | \([0, 0, 0, -642200, 207616500]\) | \(-1517101056/86515\) | \(-1670365522540000000\) | \([]\) | \(2322432\) | \(2.2535\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185900.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 185900.r do not have complex multiplication.Modular form 185900.2.a.r
sage: E.q_eigenform(10)