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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 735f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
735.b1 | 735f1 | \([0, 1, 1, -310, 3364]\) | \(-1376628736/1366875\) | \(-3281866875\) | \([]\) | \(672\) | \(0.52177\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 735f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 735f do not have complex multiplication.Modular form 735.2.a.f
sage: E.q_eigenform(10)