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SageMath
E = EllipticCurve("jk1")
E.isogeny_class()
Elliptic curves in class 352800.jk
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 352800.jk1 | 352800jk1 | \([0, 0, 0, -3322200, 2333086000]\) | \(-738763264/875\) | \(-4802902776000000000\) | \([]\) | \(6635520\) | \(2.4962\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 352800.jk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 352800.jk do not have complex multiplication.Modular form 352800.2.a.jk
sage: E.q_eigenform(10)