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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 250173bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
250173.bb1 | 250173bb1 | \([0, 0, 1, -123462, 14237569]\) | \(23887872/3773\) | \(32872518460444509\) | \([]\) | \(1313280\) | \(1.8920\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 250173bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 250173bb do not have complex multiplication.Modular form 250173.2.a.bb
sage: E.q_eigenform(10)