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SageMath
E = EllipticCurve("hr1")
E.isogeny_class()
Elliptic curves in class 129600.hr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
129600.hr1 | 129600bu1 | \([0, 0, 0, -300, -1000]\) | \(2304\) | \(1296000000\) | \([]\) | \(53760\) | \(0.44470\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 129600.hr1 has rank \(1\).
Complex multiplication
The elliptic curves in class 129600.hr do not have complex multiplication.Modular form 129600.2.a.hr
sage: E.q_eigenform(10)