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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 64715.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
64715.e1 | 64715b1 | \([1, 0, 1, -144416184, 685624853607]\) | \(-28498608725272729/882735153125\) | \(-10317585261803786242653125\) | \([]\) | \(10836000\) | \(3.5766\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 64715.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 64715.e do not have complex multiplication.Modular form 64715.2.a.e
sage: E.q_eigenform(10)