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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 18400.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18400.r1 | 18400q1 | \([0, -1, 0, 2467, -11867563]\) | \(25934336/950546875\) | \(-60835000000000000\) | \([]\) | \(96768\) | \(1.8995\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18400.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 18400.r do not have complex multiplication.Modular form 18400.2.a.r
sage: E.q_eigenform(10)