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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 473200.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
473200.bb1 | 473200bb1 | \([0, 1, 0, -119708, 37746463]\) | \(-6288640/16807\) | \(-507026117893750000\) | \([]\) | \(5184000\) | \(2.0848\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 473200.bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 473200.bb do not have complex multiplication.Modular form 473200.2.a.bb
sage: E.q_eigenform(10)