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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 1710.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1710.r1 | 1710q1 | \([1, -1, 1, 13, -39]\) | \(357911/950\) | \(-692550\) | \([]\) | \(240\) | \(-0.19566\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1710.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1710.r do not have complex multiplication.Modular form 1710.2.a.r
sage: E.q_eigenform(10)