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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 370881z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
370881.z1 | 370881z1 | \([1, -1, 0, -480688686, 3686430745003]\) | \(170295687079857398473/17163597526568829\) | \(1237998408279821441290381869\) | \([]\) | \(263577600\) | \(3.9347\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 370881z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 370881z do not have complex multiplication.Modular form 370881.2.a.z
sage: E.q_eigenform(10)