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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 250470x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
250470.x1 | 250470x1 | \([1, -1, 0, -1677330, 836553460]\) | \(5916522263654774761/134323680\) | \(11848557489120\) | \([]\) | \(2887680\) | \(2.0325\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 250470x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 250470x do not have complex multiplication.Modular form 250470.2.a.x
sage: E.q_eigenform(10)