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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 88935.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88935.t1 | 88935bl1 | \([1, 0, 0, -4166, 556821]\) | \(-1042139/16875\) | \(-129481033460625\) | \([]\) | \(241920\) | \(1.3892\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88935.t1 has rank \(2\).
Complex multiplication
The elliptic curves in class 88935.t do not have complex multiplication.Modular form 88935.2.a.t
sage: E.q_eigenform(10)