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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 418950t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
418950.t1 | 418950t1 | \([1, -1, 0, 9693, -1650699]\) | \(9393931/114912\) | \(-1231944562044000\) | \([]\) | \(2580480\) | \(1.5765\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 418950t1 has rank \(2\).
Complex multiplication
The elliptic curves in class 418950t do not have complex multiplication.Modular form 418950.2.a.t
sage: E.q_eigenform(10)