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SageMath
E = EllipticCurve("ha1")
E.isogeny_class()
Elliptic curves in class 323400.ha
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
323400.ha1 | 323400ha1 | \([0, 1, 0, -2033908, -1157034187]\) | \(-31636584484096/1331669031\) | \(-39167382457029750000\) | \([]\) | \(9676800\) | \(2.5261\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 323400.ha1 has rank \(0\).
Complex multiplication
The elliptic curves in class 323400.ha do not have complex multiplication.Modular form 323400.2.a.ha
sage: E.q_eigenform(10)