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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 53361.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
53361.t1 | 53361br1 | \([1, -1, 1, 21757, 1408124]\) | \(17999471/24057\) | \(-1522373401581417\) | \([]\) | \(322560\) | \(1.5991\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 53361.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 53361.t do not have complex multiplication.Modular form 53361.2.a.t
sage: E.q_eigenform(10)