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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 9800.bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9800.bl1 | 9800bj1 | \([0, -1, 0, -500208, 74086412]\) | \(2450\) | \(5649504980000000000\) | \([]\) | \(171360\) | \(2.2958\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9800.bl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9800.bl do not have complex multiplication.Modular form 9800.2.a.bl
sage: E.q_eigenform(10)