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SageMath
E = EllipticCurve("ec1")
E.isogeny_class()
Elliptic curves in class 28224.ec
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 28224.ec1 | 28224dp1 | \([0, 0, 0, -28812, -2420208]\) | \(-2646\) | \(-999664087597056\) | \([]\) | \(107520\) | \(1.5880\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28224.ec1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28224.ec do not have complex multiplication.Modular form 28224.2.a.ec
sage: E.q_eigenform(10)