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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 1573.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1573.b1 | 1573b1 | \([0, -1, 1, -161, 2925]\) | \(-262144/1859\) | \(-3293331899\) | \([]\) | \(480\) | \(0.50945\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1573.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1573.b do not have complex multiplication.Modular form 1573.2.a.b
sage: E.q_eigenform(10)