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SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 369342.cd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
369342.cd1 | 369342cd1 | \([1, -1, 1, -6830714, -6841421639]\) | \(2003092024307193/9529458688\) | \(167683097661787865088\) | \([]\) | \(20901888\) | \(2.7300\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 369342.cd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 369342.cd do not have complex multiplication.Modular form 369342.2.a.cd
sage: E.q_eigenform(10)