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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 271950t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
271950.t1 | 271950t1 | \([1, 1, 0, 292750, -13581000]\) | \(1509398240111/917621460\) | \(-1686831986680312500\) | \([]\) | \(4055040\) | \(2.1867\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 271950t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 271950t do not have complex multiplication.Modular form 271950.2.a.t
sage: E.q_eigenform(10)