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SageMath
E = EllipticCurve("cn1")
E.isogeny_class()
Elliptic curves in class 98736cn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
98736.p1 | 98736cn1 | \([0, -1, 0, -521429, 146519133]\) | \(-2160697802752/24640803\) | \(-178801400231866368\) | \([]\) | \(1382400\) | \(2.1243\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 98736cn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 98736cn do not have complex multiplication.Modular form 98736.2.a.cn
sage: E.q_eigenform(10)