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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 103155i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
103155.m1 | 103155i1 | \([0, 1, 1, -176, 8165]\) | \(-4096/195\) | \(-28866998355\) | \([]\) | \(151800\) | \(0.68716\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103155i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 103155i do not have complex multiplication.Modular form 103155.2.a.i
sage: E.q_eigenform(10)