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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 9800.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9800.q1 | 9800bo1 | \([0, -1, 0, -206208, 36258412]\) | \(-10303010/49\) | \(-4611840800000000\) | \([]\) | \(69120\) | \(1.8552\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9800.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9800.q do not have complex multiplication.Modular form 9800.2.a.q
sage: E.q_eigenform(10)