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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 2898a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2898.c1 | 2898a1 | \([1, -1, 0, -15, 27]\) | \(-14348907/322\) | \(-8694\) | \([]\) | \(224\) | \(-0.45580\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2898a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2898a do not have complex multiplication.Modular form 2898.2.a.a
sage: E.q_eigenform(10)