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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 200277t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
200277.v1 | 200277t1 | \([1, -1, 0, -2031435, 1115094222]\) | \(-52687982361169/8588349\) | \(-151123060739430549\) | \([]\) | \(2654208\) | \(2.3054\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 200277t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 200277t do not have complex multiplication.Modular form 200277.2.a.t
sage: E.q_eigenform(10)