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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 3024.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3024.a1 | 3024v1 | \([0, 0, 0, 7053, 93490]\) | \(38983348653/26353376\) | \(-26230253027328\) | \([]\) | \(10080\) | \(1.2635\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3024.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3024.a do not have complex multiplication.Modular form 3024.2.a.a
sage: E.q_eigenform(10)