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SageMath
E = EllipticCurve("ha1")
E.isogeny_class()
Elliptic curves in class 178752.ha
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
178752.ha1 | 178752gh1 | \([0, 1, 0, 4179999, -2635353729]\) | \(628805222251722551/597713542447104\) | \(-7677663924691427917824\) | \([]\) | \(10838016\) | \(2.8865\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 178752.ha1 has rank \(1\).
Complex multiplication
The elliptic curves in class 178752.ha do not have complex multiplication.Modular form 178752.2.a.ha
sage: E.q_eigenform(10)