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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 3630.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3630.y1 | 3630y1 | \([1, 0, 0, -141875, 18393057]\) | \(21571025211960961/2488320000000\) | \(36431493120000000\) | \([]\) | \(57120\) | \(1.9098\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3630.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3630.y do not have complex multiplication.Modular form 3630.2.a.y
sage: E.q_eigenform(10)