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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 7448.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7448.o1 | 7448k1 | \([0, 0, 0, -686, -7203]\) | \(-387072/19\) | \(-1752499504\) | \([]\) | \(4032\) | \(0.53528\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7448.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7448.o do not have complex multiplication.Modular form 7448.2.a.o
sage: E.q_eigenform(10)