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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 348843j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
348843.j1 | 348843j1 | \([0, 1, 1, 3524, -13997]\) | \(45056/27\) | \(-2899474525827\) | \([]\) | \(1078920\) | \(1.0806\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 348843j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 348843j do not have complex multiplication.Modular form 348843.2.a.j
sage: E.q_eigenform(10)