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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 250470.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
250470.t1 | 250470t1 | \([1, -1, 0, -222360, 46664756]\) | \(-2381643/460\) | \(-234842111073882180\) | \([]\) | \(3421440\) | \(2.0567\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 250470.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 250470.t do not have complex multiplication.Modular form 250470.2.a.t
sage: E.q_eigenform(10)