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SageMath
E = EllipticCurve("ft1")
E.isogeny_class()
Elliptic curves in class 193200.ft
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
193200.ft1 | 193200ew1 | \([0, 1, 0, 8792, 371588]\) | \(187878620/255507\) | \(-102202800000000\) | \([]\) | \(587520\) | \(1.3739\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 193200.ft1 has rank \(0\).
Complex multiplication
The elliptic curves in class 193200.ft do not have complex multiplication.Modular form 193200.2.a.ft
sage: E.q_eigenform(10)