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SageMath
E = EllipticCurve("cn1")
E.isogeny_class()
Elliptic curves in class 328560.cn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
328560.cn1 | 328560cn1 | \([0, 1, 0, -624720, -12563820]\) | \(1874161/1080\) | \(15538085110721249280\) | \([]\) | \(6905088\) | \(2.3720\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 328560.cn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 328560.cn do not have complex multiplication.Modular form 328560.2.a.cn
sage: E.q_eigenform(10)