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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 235340.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235340.e1 | 235340e1 | \([0, -1, 0, -19306845, -32647547975]\) | \(-654507396653056/36771875\) | \(-44715581283077600000\) | \([]\) | \(9273600\) | \(2.8353\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235340.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 235340.e do not have complex multiplication.Modular form 235340.2.a.e
sage: E.q_eigenform(10)