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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 238260.bb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 238260.bb1 | 238260bb1 | \([0, 1, 0, -25696100, -50872668252]\) | \(-431575316055376/7307689125\) | \(-31772313328247713056000\) | \([]\) | \(37231488\) | \(3.1164\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 238260.bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 238260.bb do not have complex multiplication.Modular form 238260.2.a.bb
sage: E.q_eigenform(10)