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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 88935x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88935.d1 | 88935x1 | \([0, -1, 1, 180, -694]\) | \(2207744/1875\) | \(-544726875\) | \([]\) | \(54144\) | \(0.36394\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88935x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88935x do not have complex multiplication.Modular form 88935.2.a.x
sage: E.q_eigenform(10)