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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 485520.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 485520.d1 | 485520d1 | \([0, -1, 0, -9573221, -10441388979]\) | \(283623608680689664/26378173828125\) | \(9024026445000000000000\) | \([]\) | \(25758720\) | \(2.9514\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 485520.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 485520.d do not have complex multiplication.Modular form 485520.2.a.d
sage: E.q_eigenform(10)