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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 1900b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1900.b1 | 1900b1 | \([0, 1, 0, -533, -4937]\) | \(-4194304/19\) | \(-76000000\) | \([]\) | \(840\) | \(0.36379\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1900b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1900b do not have complex multiplication.Modular form 1900.2.a.b
sage: E.q_eigenform(10)