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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 9800.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9800.bd1 | 9800bb1 | \([0, 1, 0, 5367, 476363]\) | \(12459008/78125\) | \(-107187500000000\) | \([]\) | \(21504\) | \(1.3740\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9800.bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9800.bd do not have complex multiplication.Modular form 9800.2.a.bd
sage: E.q_eigenform(10)