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SageMath
E = EllipticCurve("ev1")
E.isogeny_class()
Elliptic curves in class 129360.ev
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
129360.ev1 | 129360gp1 | \([0, 1, 0, -1367781, -610174125]\) | \(1409995418369929216/15792626953125\) | \(3169643400000000000\) | \([]\) | \(2534400\) | \(2.3639\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 129360.ev1 has rank \(1\).
Complex multiplication
The elliptic curves in class 129360.ev do not have complex multiplication.Modular form 129360.2.a.ev
sage: E.q_eigenform(10)