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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 32244.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32244.a1 | 32244c1 | \([0, -1, 0, -30, 81]\) | \(-192914176/24183\) | \(-386928\) | \([]\) | \(13344\) | \(-0.19363\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32244.a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 32244.a do not have complex multiplication.Modular form 32244.2.a.a
sage: E.q_eigenform(10)