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SageMath
E = EllipticCurve("fu1")
E.isogeny_class()
Elliptic curves in class 208080.fu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
208080.fu1 | 208080w1 | \([0, 0, 0, -6987, 532474]\) | \(-43713001/116640\) | \(-100654415216640\) | \([]\) | \(414720\) | \(1.3744\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 208080.fu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 208080.fu do not have complex multiplication.Modular form 208080.2.a.fu
sage: E.q_eigenform(10)