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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 150696o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
150696.be1 | 150696o1 | \([0, 0, 0, -2119464084, 37556677760852]\) | \(5642017163771722268092767232/570626054098424597\) | \(106492516720064391990528\) | \([]\) | \(57024000\) | \(3.8494\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 150696o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 150696o do not have complex multiplication.Modular form 150696.2.a.o
sage: E.q_eigenform(10)