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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 471510t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
471510.t1 | 471510t1 | \([1, -1, 0, 355005, 52612821]\) | \(40161710435115191/32980781952000\) | \(-4063265317268352000\) | \([]\) | \(7372800\) | \(2.2585\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 471510t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 471510t do not have complex multiplication.Modular form 471510.2.a.t
sage: E.q_eigenform(10)