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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 54390.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54390.a1 | 54390g1 | \([1, 1, 0, -52846868, 147937858272]\) | \(-138737302436738811629881/98767470812850000\) | \(-11619894173660989650000\) | \([]\) | \(7096320\) | \(3.1696\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54390.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 54390.a do not have complex multiplication.Modular form 54390.2.a.a
sage: E.q_eigenform(10)