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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 468270a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
468270.a1 | 468270a1 | \([1, -1, 0, -152457300, 1086537004240]\) | \(-303448326736684074841/219267458847866880\) | \(-283176899746045719495966720\) | \([]\) | \(350945280\) | \(3.7753\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 468270a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 468270a do not have complex multiplication.Modular form 468270.2.a.a
sage: E.q_eigenform(10)