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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 439569.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
439569.e1 | 439569e1 | \([0, 0, 1, -1318707, -655727056]\) | \(-110592/17\) | \(-38984669428925767131\) | \([]\) | \(14183424\) | \(2.4882\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 439569.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 439569.e do not have complex multiplication.Modular form 439569.2.a.e
sage: E.q_eigenform(10)