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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 349830.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
349830.f1 | 349830f1 | \([1, -1, 0, 3789540, 4985635266]\) | \(289056138613409999/683205566406250\) | \(-14225001918771972656250\) | \([]\) | \(27555840\) | \(2.9348\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 349830.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 349830.f do not have complex multiplication.Modular form 349830.2.a.f
sage: E.q_eigenform(10)