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SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 215475.cd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
215475.cd1 | 215475by1 | \([0, 1, 1, -18308, 3795419]\) | \(-53248/459\) | \(-5850318764671875\) | \([]\) | \(2515968\) | \(1.7081\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215475.cd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 215475.cd do not have complex multiplication.Modular form 215475.2.a.cd
sage: E.q_eigenform(10)