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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 157794b
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 157794.ce1 | 157794b1 | \([1, 0, 0, -29039882, -60580803036]\) | \(-112205650221491190337/745029571313664\) | \(-17983202684623985442816\) | \([]\) | \(20944000\) | \(3.1059\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 157794b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 157794b do not have complex multiplication.Modular form 157794.2.a.b
sage: E.q_eigenform(10)