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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 455175bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
455175.bj1 | 455175bj1 | \([1, -1, 1, -59841695, -178163748908]\) | \(-1995310715276835/9938999\) | \(-118050403629049559325\) | \([]\) | \(29859840\) | \(3.0504\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 455175bj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 455175bj do not have complex multiplication.Modular form 455175.2.a.bj
sage: E.q_eigenform(10)