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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 72450.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
72450.t1 | 72450v1 | \([1, -1, 0, -22617, -1485459]\) | \(-179726425/30912\) | \(-220066875000000\) | \([]\) | \(288000\) | \(1.4784\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 72450.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 72450.t do not have complex multiplication.Modular form 72450.2.a.t
sage: E.q_eigenform(10)