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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 7448o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7448.f1 | 7448o1 | \([0, 1, 0, -457, -9045]\) | \(-7168/19\) | \(-28039992064\) | \([]\) | \(4032\) | \(0.69227\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7448o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7448o do not have complex multiplication.Modular form 7448.2.a.o
sage: E.q_eigenform(10)