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SageMath
E = EllipticCurve("dc1")
E.isogeny_class()
Elliptic curves in class 360640dc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 360640.dc1 | 360640dc1 | \([0, -1, 0, 31295, 598025]\) | \(28134973184/17609375\) | \(-2121446768000000\) | \([]\) | \(1474560\) | \(1.6300\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 360640dc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 360640dc do not have complex multiplication.Modular form 360640.2.a.dc
sage: E.q_eigenform(10)