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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 107800.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
107800.a1 | 107800bw1 | \([0, 0, 0, -4900, -171500]\) | \(-27648/11\) | \(-5176556000000\) | \([]\) | \(311040\) | \(1.1485\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 107800.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 107800.a do not have complex multiplication.Modular form 107800.2.a.a
sage: E.q_eigenform(10)