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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 20308.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20308.a1 | 20308a1 | \([0, -1, 0, -109, 473]\) | \(564600832/5077\) | \(1299712\) | \([]\) | \(2400\) | \(-0.0041184\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20308.a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 20308.a do not have complex multiplication.Modular form 20308.2.a.a
sage: E.q_eigenform(10)