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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 6630.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6630.r1 | 6630u1 | \([1, 1, 1, -1410, 19815]\) | \(-310027558782241/414375000\) | \(-414375000\) | \([]\) | \(8064\) | \(0.55946\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6630.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6630.r do not have complex multiplication.Modular form 6630.2.a.r
sage: E.q_eigenform(10)