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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 16575.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16575.a1 | 16575k1 | \([0, 1, 1, 1292, -13256]\) | \(122023936/112047\) | \(-218841796875\) | \([]\) | \(30240\) | \(0.86325\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16575.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 16575.a do not have complex multiplication.Modular form 16575.2.a.a
sage: E.q_eigenform(10)