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SageMath
E = EllipticCurve("jh1")
E.isogeny_class()
Elliptic curves in class 139650.jh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
139650.jh1 | 139650t1 | \([1, 0, 0, -12636513, 838906723017]\) | \(-404478107789/550829555712\) | \(-303897882629505024000000000\) | \([]\) | \(64108800\) | \(3.7606\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 139650.jh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 139650.jh do not have complex multiplication.Modular form 139650.2.a.jh
sage: E.q_eigenform(10)