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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 9680a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9680.i1 | 9680a1 | \([0, -1, 0, 224, -22240]\) | \(453962/78125\) | \(-212960000000\) | \([]\) | \(8064\) | \(0.85297\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9680a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9680a do not have complex multiplication.Modular form 9680.2.a.a
sage: E.q_eigenform(10)