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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 301530b
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 301530.b1 | 301530b1 | \([1, 1, 0, -1770979598, 28688505779508]\) | \(-14828117765035067161/2001730560000\) | \(-82924713490543892413440000\) | \([]\) | \(244328448\) | \(3.9920\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 301530b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 301530b do not have complex multiplication.Modular form 301530.2.a.b
sage: E.q_eigenform(10)