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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 189280t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
189280.ca1 | 189280t1 | \([0, 1, 0, -50925, 4410875]\) | \(-738763264/875\) | \(-17299283456000\) | \([]\) | \(449280\) | \(1.4517\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 189280t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 189280t do not have complex multiplication.Modular form 189280.2.a.t
sage: E.q_eigenform(10)