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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 215475i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
215475.e1 | 215475i1 | \([0, -1, 1, -18308, 1559768]\) | \(-53248/51\) | \(-650035418296875\) | \([]\) | \(1280448\) | \(1.5385\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215475i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 215475i do not have complex multiplication.Modular form 215475.2.a.i
sage: E.q_eigenform(10)