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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 379050.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
379050.t1 | 379050t1 | \([1, 1, 0, -275450, 66207750]\) | \(-125768785/30618\) | \(-562676087678906250\) | \([]\) | \(5806080\) | \(2.1244\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 379050.t do not have complex multiplication.Modular form 379050.2.a.t
sage: E.q_eigenform(10)