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SageMath
sage: E = EllipticCurve("dp1")
sage: E.isogeny_class()
Elliptic curves in class 44100.dp
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 44100.dp1 | 44100ch1 | [0, 0, 0, 352800, 245416500] | [] | 967680 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44100.dp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 44100.dp do not have complex multiplication.Modular form 44100.2.a.dp
sage: E.q_eigenform(10)