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SageMath
E = EllipticCurve("dc1")
E.isogeny_class()
Elliptic curves in class 42336.dc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 42336.dc1 | 42336cj1 | \([0, 0, 0, -1176, -5488]\) | \(13824/7\) | \(91077267456\) | \([]\) | \(36864\) | \(0.79544\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 42336.dc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 42336.dc do not have complex multiplication.Modular form 42336.2.a.dc
sage: E.q_eigenform(10)