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SageMath
E = EllipticCurve("hl1")
E.isogeny_class()
Elliptic curves in class 139650hl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
139650.c1 | 139650hl1 | \([1, 1, 0, 155550, 117616500]\) | \(9056932295/135136512\) | \(-6210420117300000000\) | \([]\) | \(3317760\) | \(2.2867\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 139650hl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 139650hl do not have complex multiplication.Modular form 139650.2.a.hl
sage: E.q_eigenform(10)