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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 213616o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
213616.t1 | 213616o1 | \([0, 1, 0, -9520, -339884]\) | \(4826809/316\) | \(6247512653824\) | \([]\) | \(338688\) | \(1.2051\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 213616o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 213616o do not have complex multiplication.Modular form 213616.2.a.o
sage: E.q_eigenform(10)