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SageMath
E = EllipticCurve("dk1")
E.isogeny_class()
Elliptic curves in class 348075.dk
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 348075.dk1 | 348075dk1 | \([0, 0, 1, -655275, 204167281]\) | \(-2731787761881088/19171971\) | \(-218380732171875\) | \([]\) | \(3566592\) | \(1.9308\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 348075.dk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 348075.dk do not have complex multiplication.Modular form 348075.2.a.dk
sage: E.q_eigenform(10)