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SageMath
E = EllipticCurve("hn1")
E.isogeny_class()
Elliptic curves in class 207936.hn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
207936.hn1 | 207936cw1 | \([0, 0, 0, -15276, -726712]\) | \(1462911232\) | \(269485056\) | \([]\) | \(241920\) | \(0.93265\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 207936.hn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 207936.hn do not have complex multiplication.Modular form 207936.2.a.hn
sage: E.q_eigenform(10)