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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 28611j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28611.m1 | 28611j1 | \([0, 0, 1, -3468, -79403]\) | \(-75759616/891\) | \(-54250146819\) | \([]\) | \(18432\) | \(0.87237\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28611j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28611j do not have complex multiplication.Modular form 28611.2.a.j
sage: E.q_eigenform(10)