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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 9800.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9800.o1 | 9800bc1 | \([0, -1, 0, 992, 74012]\) | \(137564/3125\) | \(-2450000000000\) | \([]\) | \(11520\) | \(1.0575\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9800.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9800.o do not have complex multiplication.Modular form 9800.2.a.o
sage: E.q_eigenform(10)