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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 116242.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116242.f1 | 116242n1 | \([1, 0, 1, 11, -6]\) | \(463391/322\) | \(-116242\) | \([]\) | \(21024\) | \(-0.33950\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116242.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 116242.f do not have complex multiplication.Modular form 116242.2.a.f
sage: E.q_eigenform(10)