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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 301665.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
301665.x1 | 301665x1 | \([0, -1, 1, -804414875, 8783188158383]\) | \(-11926249134908509075308544/2246680441062421875\) | \(-10844297373044067468046875\) | \([]\) | \(86184000\) | \(3.8053\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 301665.x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 301665.x do not have complex multiplication.Modular form 301665.2.a.x
sage: E.q_eigenform(10)