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SageMath
E = EllipticCurve("jk1")
E.isogeny_class()
Elliptic curves in class 382200.jk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
382200.jk1 | 382200jk1 | \([0, 1, 0, 57167, 89738963]\) | \(351232/59319\) | \(-3489410515500000000\) | \([]\) | \(6739200\) | \(2.2373\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 382200.jk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 382200.jk do not have complex multiplication.Modular form 382200.2.a.jk
sage: E.q_eigenform(10)