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SageMath
E = EllipticCurve("ha1")
E.isogeny_class()
Elliptic curves in class 61200ha
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
61200.d1 | 61200ha1 | \([0, 0, 0, -154875, -21473750]\) | \(352224985/33048\) | \(38547187200000000\) | \([]\) | \(691200\) | \(1.9209\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 61200ha1 has rank \(0\).
Complex multiplication
The elliptic curves in class 61200ha do not have complex multiplication.Modular form 61200.2.a.ha
sage: E.q_eigenform(10)