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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 327.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
327.a1 | 327a1 | \([1, 0, 0, 4, -3]\) | \(6967871/8829\) | \(-8829\) | \([]\) | \(16\) | \(-0.55685\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 327.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 327.a do not have complex multiplication.Modular form 327.2.a.a
sage: E.q_eigenform(10)