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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 85176.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
85176.e1 | 85176v1 | \([0, 0, 0, -15685059, 24042786014]\) | \(-59219479733906/382060497\) | \(-2753275883813497276416\) | \([]\) | \(7096320\) | \(2.9507\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 85176.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 85176.e do not have complex multiplication.Modular form 85176.2.a.e
sage: E.q_eigenform(10)