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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 151725.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
151725.i1 | 151725b1 | \([0, 1, 1, -363658, 22227244]\) | \(352558182400/189724437\) | \(2862179180671033125\) | \([]\) | \(3414528\) | \(2.2326\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 151725.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 151725.i do not have complex multiplication.Modular form 151725.2.a.i
sage: E.q_eigenform(10)