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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 179520.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
179520.j1 | 179520dm1 | \([0, -1, 0, -10561, 421345]\) | \(-496981290961/89760\) | \(-23530045440\) | \([]\) | \(230400\) | \(0.99382\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 179520.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 179520.j do not have complex multiplication.Modular form 179520.2.a.j
sage: E.q_eigenform(10)