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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 675.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
675.i1 | 675g1 | \([0, 0, 1, -75, 531]\) | \(-12288/25\) | \(-94921875\) | \([]\) | \(288\) | \(0.21999\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 675.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 675.i do not have complex multiplication.Modular form 675.2.a.i
sage: E.q_eigenform(10)