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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 88200.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88200.q1 | 88200ht1 | \([0, 0, 0, -3675, 46550]\) | \(2450\) | \(2240421120000\) | \([]\) | \(117504\) | \(1.0674\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88200.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 88200.q do not have complex multiplication.Modular form 88200.2.a.q
sage: E.q_eigenform(10)