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SageMath
E = EllipticCurve("hk1")
E.isogeny_class()
Elliptic curves in class 141120.hk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141120.hk1 | 141120er1 | \([0, 0, 0, -4368, 111328]\) | \(-2249728/5\) | \(-20483850240\) | \([]\) | \(184320\) | \(0.86132\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141120.hk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 141120.hk do not have complex multiplication.Modular form 141120.2.a.hk
sage: E.q_eigenform(10)