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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 9680o
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 9680.bc1 | 9680o1 | \([0, 0, 0, 9317, -322102]\) | \(9261/10\) | \(-96581537423360\) | \([]\) | \(63360\) | \(1.3701\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9680o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9680o do not have complex multiplication.Modular form 9680.2.a.o
sage: E.q_eigenform(10)