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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 102850bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
102850.bi1 | 102850bl1 | \([1, 0, 1, 18994, 77380708]\) | \(28284883/96550276\) | \(-2587051140450144500\) | \([]\) | \(1647360\) | \(2.2120\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102850bl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 102850bl do not have complex multiplication.Modular form 102850.2.a.bl
sage: E.q_eigenform(10)