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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 392784b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
392784.b1 | 392784b1 | \([0, -1, 0, -2796152, 1792006224]\) | \(10034321309852114/55245634227\) | \(13311167736160917504\) | \([]\) | \(11059200\) | \(2.5126\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 392784b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 392784b do not have complex multiplication.Modular form 392784.2.a.b
sage: E.q_eigenform(10)