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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 53361t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
53361.n1 | 53361t1 | \([1, -1, 1, 1066108, -485118840]\) | \(17999471/24057\) | \(-179105708322652128633\) | \([]\) | \(2257920\) | \(2.5720\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 53361t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 53361t do not have complex multiplication.Modular form 53361.2.a.t
sage: E.q_eigenform(10)