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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 429429r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
429429.r1 | 429429r1 | \([1, 1, 1, -89178515, 326281490426]\) | \(-1109873716015912969/8645553420777\) | \(-610975299733770150292113\) | \([]\) | \(112783104\) | \(3.3932\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 429429r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 429429r do not have complex multiplication.Modular form 429429.2.a.r
sage: E.q_eigenform(10)