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SageMath
E = EllipticCurve("dc1")
E.isogeny_class()
Elliptic curves in class 229320.dc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 229320.dc1 | 229320ci1 | \([0, 0, 0, 588, 5684]\) | \(1354752/1625\) | \(-26968032000\) | \([]\) | \(131328\) | \(0.68770\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 229320.dc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 229320.dc do not have complex multiplication.Modular form 229320.2.a.dc
sage: E.q_eigenform(10)