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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 7098.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7098.o1 | 7098m1 | \([1, 0, 1, -7838393, 9140787164]\) | \(-5022437771811277/497757560832\) | \(-5278469741748953358336\) | \([]\) | \(535392\) | \(2.9087\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7098.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7098.o do not have complex multiplication.Modular form 7098.2.a.o
sage: E.q_eigenform(10)