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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 20328.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20328.a1 | 20328s1 | \([0, -1, 0, -1492, -22031]\) | \(-12967168/231\) | \(-6547689456\) | \([]\) | \(19200\) | \(0.68034\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20328.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 20328.a do not have complex multiplication.Modular form 20328.2.a.a
sage: E.q_eigenform(10)