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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 2160.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2160.w1 | 2160f1 | \([0, 0, 0, -1647, -26811]\) | \(-1568892672/78125\) | \(-24603750000\) | \([]\) | \(2016\) | \(0.75498\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2160.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2160.w do not have complex multiplication.Modular form 2160.2.a.w
sage: E.q_eigenform(10)