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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 59290bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59290.s1 | 59290bg1 | \([1, 1, 0, -1488302, -634455884]\) | \(85713473128801/8800000000\) | \(37430958056800000000\) | \([]\) | \(1520640\) | \(2.4913\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59290bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 59290bg do not have complex multiplication.Modular form 59290.2.a.bg
sage: E.q_eigenform(10)