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SageMath
E = EllipticCurve("hs1")
E.isogeny_class()
Elliptic curves in class 124950.hs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
124950.hs1 | 124950ix1 | \([1, 0, 0, -55763, 14914017]\) | \(-417267265/1850688\) | \(-85051403325000000\) | \([]\) | \(1036800\) | \(1.9334\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 124950.hs1 has rank \(1\).
Complex multiplication
The elliptic curves in class 124950.hs do not have complex multiplication.Modular form 124950.2.a.hs
sage: E.q_eigenform(10)