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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 93138.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
93138.x1 | 93138y1 | \([1, 1, 1, 518569, -131329555]\) | \(2515401431/2674944\) | \(-16400258899907238144\) | \([]\) | \(1751040\) | \(2.3737\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 93138.x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 93138.x do not have complex multiplication.Modular form 93138.2.a.x
sage: E.q_eigenform(10)