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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 9680x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9680.w1 | 9680x1 | \([0, 1, 0, -4880, 422420]\) | \(-14641/80\) | \(-70241118126080\) | \([]\) | \(25344\) | \(1.3410\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9680x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9680x do not have complex multiplication.Modular form 9680.2.a.x
sage: E.q_eigenform(10)