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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 71478.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
71478.l1 | 71478u1 | \([1, -1, 0, -175031820, 891343151824]\) | \(47898112923787681/2052864\) | \(25416545020618980096\) | \([]\) | \(7354368\) | \(3.2076\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71478.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 71478.l do not have complex multiplication.Modular form 71478.2.a.l
sage: E.q_eigenform(10)