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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 32490.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32490.b1 | 32490d1 | \([1, -1, 0, -72352590, 237818070800]\) | \(-347103233883/1562500\) | \(-188559026800464192187500\) | \([]\) | \(7617024\) | \(3.3180\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32490.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 32490.b do not have complex multiplication.Modular form 32490.2.a.b
sage: E.q_eigenform(10)