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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 506251.b
sage: E.isogeny_class().curves
| LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
|---|---|---|---|---|---|---|
| 506251.b1 | \([0, -1, 1, 13, 25]\) | \(224755712/506251\) | \(-506251\) | \([]\) | \(63947\) | \(-0.22132\) |
Rank
sage: E.rank()
The elliptic curve 506251.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 506251.b do not have complex multiplication.Modular form 506251.2.a.b
sage: E.q_eigenform(10)