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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 2704a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2704.d1 | 2704a1 | \([0, -1, 0, -2760, 59344]\) | \(-235298/13\) | \(-128508962816\) | \([]\) | \(2688\) | \(0.88944\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2704a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2704a do not have complex multiplication.Modular form 2704.2.a.a
sage: E.q_eigenform(10)