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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 155526t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
155526.db1 | 155526t1 | \([1, 0, 0, -56085, 44613729]\) | \(-2689684081/117006336\) | \(-848735711451242496\) | \([]\) | \(1976832\) | \(2.1203\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 155526t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 155526t do not have complex multiplication.Modular form 155526.2.a.t
sage: E.q_eigenform(10)