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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 71478.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
71478.d1 | 71478p1 | \([1, -1, 0, -1008, -13824]\) | \(-430638553/76032\) | \(-20009265408\) | \([]\) | \(55296\) | \(0.70229\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71478.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 71478.d do not have complex multiplication.Modular form 71478.2.a.d
sage: E.q_eigenform(10)