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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 54096.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54096.t1 | 54096d1 | \([0, -1, 0, 4527, -1688931]\) | \(116822144000/14076282141\) | \(-1236010182236928\) | \([]\) | \(197120\) | \(1.5753\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54096.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 54096.t do not have complex multiplication.Modular form 54096.2.a.t
sage: E.q_eigenform(10)