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SageMath
E = EllipticCurve("dd1")
E.isogeny_class()
Elliptic curves in class 350658.dd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
350658.dd1 | 350658dd1 | \([1, -1, 1, -669758, -211521747]\) | \(-25727239787761/101406816\) | \(-130963654702276704\) | \([]\) | \(4147200\) | \(2.1420\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 350658.dd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 350658.dd do not have complex multiplication.Modular form 350658.2.a.dd
sage: E.q_eigenform(10)