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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 75118.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75118.i1 | 75118h1 | \([1, -1, 0, -1389253, -627317419]\) | \(2003092024307193/9529458688\) | \(1410701888566853632\) | \([]\) | \(3927528\) | \(2.3318\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75118.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 75118.i do not have complex multiplication.Modular form 75118.2.a.i
sage: E.q_eigenform(10)