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SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 112710cd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
112710.cd1 | 112710cd1 | \([1, 1, 1, -370215, 92562657]\) | \(-804441463921/66832740\) | \(-466208983357418340\) | \([]\) | \(2056320\) | \(2.1358\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 112710cd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 112710cd do not have complex multiplication.Modular form 112710.2.a.cd
sage: E.q_eigenform(10)