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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 465690j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
465690.j1 | 465690j1 | \([1, 1, 0, -9032, -1286976]\) | \(-1732323601/14117760\) | \(-664182456946560\) | \([]\) | \(2661120\) | \(1.5269\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 465690j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 465690j do not have complex multiplication.Modular form 465690.2.a.j
sage: E.q_eigenform(10)