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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 16900q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16900.a1 | 16900q1 | \([0, 0, 0, -4225, 105625]\) | \(1168128\) | \(7140250000\) | \([]\) | \(23040\) | \(0.81754\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16900q1 has rank \(2\).
Complex multiplication
The elliptic curves in class 16900q do not have complex multiplication.Modular form 16900.2.a.q
sage: E.q_eigenform(10)