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SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 88935cd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88935.g1 | 88935cd1 | \([0, 1, 1, -16283010, -26296321936]\) | \(-5017776128/234375\) | \(-22301178386524555546875\) | \([]\) | \(12418560\) | \(3.0514\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88935cd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 88935cd do not have complex multiplication.Modular form 88935.2.a.cd
sage: E.q_eigenform(10)