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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 162288.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162288.r1 | 162288et1 | \([0, 0, 0, -173019, 39329066]\) | \(-3261064466/1917027\) | \(-336723905827362816\) | \([]\) | \(1843200\) | \(2.0657\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162288.r1 has rank \(2\).
Complex multiplication
The elliptic curves in class 162288.r do not have complex multiplication.Modular form 162288.2.a.r
sage: E.q_eigenform(10)