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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 53130i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
53130.i1 | 53130i1 | \([1, 1, 0, -973, 218557]\) | \(-102037418278489/20653019180640\) | \(-20653019180640\) | \([]\) | \(181440\) | \(1.2342\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 53130i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 53130i do not have complex multiplication.Modular form 53130.2.a.i
sage: E.q_eigenform(10)