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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 323680.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
323680.k1 | 323680k1 | \([0, -1, 0, -87085, 9930725]\) | \(-738763264/875\) | \(-86509047296000\) | \([]\) | \(992256\) | \(1.5858\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 323680.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 323680.k do not have complex multiplication.Modular form 323680.2.a.k
sage: E.q_eigenform(10)