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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 200900.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
200900.b1 | 200900b1 | \([0, -1, 0, -620258, -187082363]\) | \(373698304/1681\) | \(118710223392250000\) | \([]\) | \(2399040\) | \(2.1279\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 200900.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 200900.b do not have complex multiplication.Modular form 200900.2.a.b
sage: E.q_eigenform(10)