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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 179520.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
179520.k1 | 179520dn1 | \([0, -1, 0, 149, 85]\) | \(5677858304/3408075\) | \(-218116800\) | \([]\) | \(46080\) | \(0.28932\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 179520.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 179520.k do not have complex multiplication.Modular form 179520.2.a.k
sage: E.q_eigenform(10)