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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 502543.b
sage: E.isogeny_class().curves
| LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
|---|---|---|---|---|---|---|
| 502543.b1 | \([1, 1, 1, -34, -98]\) | \(-4354703137/502543\) | \(-502543\) | \([]\) | \(70872\) | \(-0.16965\) |
Rank
sage: E.rank()
The elliptic curve 502543.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 502543.b do not have complex multiplication.Modular form 502543.2.a.b
sage: E.q_eigenform(10)