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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 485100.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
485100.w1 | 485100w1 | \([0, 0, 0, -1029000, 294122500]\) | \(40960/11\) | \(32359557453300000000\) | \([]\) | \(12579840\) | \(2.4518\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 485100.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 485100.w do not have complex multiplication.Modular form 485100.2.a.w
sage: E.q_eigenform(10)