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SageMath
E = EllipticCurve("cn1")
E.isogeny_class()
Elliptic curves in class 270400cn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
270400.cn1 | 270400cn1 | \([0, -1, 0, 535167, -38422463]\) | \(274360/169\) | \(-10441353228800000000\) | \([]\) | \(5806080\) | \(2.3385\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 270400cn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 270400cn do not have complex multiplication.Modular form 270400.2.a.cn
sage: E.q_eigenform(10)