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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 139650.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
139650.i1 | 139650il1 | \([1, 1, 0, -3739950, 1193656500]\) | \(2569075852105/1212682752\) | \(2730810445864200000000\) | \([]\) | \(10160640\) | \(2.8074\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 139650.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 139650.i do not have complex multiplication.Modular form 139650.2.a.i
sage: E.q_eigenform(10)