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SageMath
E = EllipticCurve("km1")
E.isogeny_class()
Elliptic curves in class 141120km
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141120.ik1 | 141120km1 | \([0, 0, 0, -11172, -749014]\) | \(-1376628736/1366875\) | \(-153118780920000\) | \([]\) | \(430080\) | \(1.4176\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141120km1 has rank \(1\).
Complex multiplication
The elliptic curves in class 141120km do not have complex multiplication.Modular form 141120.2.a.km
sage: E.q_eigenform(10)