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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 30767d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30767.a1 | 30767d1 | \([0, 0, 1, -31, 60]\) | \(3294646272/338437\) | \(338437\) | \([]\) | \(13632\) | \(-0.20347\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30767d1 has rank \(3\).
Complex multiplication
The elliptic curves in class 30767d do not have complex multiplication.Modular form 30767.2.a.d
sage: E.q_eigenform(10)