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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 151725x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
151725.bc1 | 151725x1 | \([1, 0, 0, 42477, -7046928]\) | \(48601895/151263\) | \(-26379349944949575\) | \([]\) | \(954720\) | \(1.8342\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 151725x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 151725x do not have complex multiplication.Modular form 151725.2.a.x
sage: E.q_eigenform(10)