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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 249777.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
249777.t1 | 249777t1 | \([0, 0, 1, -68121, 7078907]\) | \(-2985984/121\) | \(-1416656798696403\) | \([]\) | \(1741824\) | \(1.6751\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 249777.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 249777.t do not have complex multiplication.Modular form 249777.2.a.t
sage: E.q_eigenform(10)