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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 88935b
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 88935.br1 | 88935b1 | \([1, 1, 0, -43874723, -119276722242]\) | \(-7558595228569/597871125\) | \(-738811046830940030611125\) | \([]\) | \(11176704\) | \(3.3269\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88935b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 88935b do not have complex multiplication.Modular form 88935.2.a.b
sage: E.q_eigenform(10)