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SageMath
E = EllipticCurve("dd1")
E.isogeny_class()
Elliptic curves in class 426888.dd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 426888.dd1 | 426888dd1 | \([0, 0, 0, 4820277, 14555641639]\) | \(137566156032/1096135733\) | \(-98694382336902987942384\) | \([]\) | \(30965760\) | \(3.0936\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888.dd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 426888.dd do not have complex multiplication.Modular form 426888.2.a.dd
sage: E.q_eigenform(10)