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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 370881e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
370881.e1 | 370881e1 | \([0, 0, 1, -11250057, -9413196732]\) | \(62992384/21141\) | \(52847611296026175062469\) | \([]\) | \(47416320\) | \(3.0626\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 370881e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 370881e do not have complex multiplication.Modular form 370881.2.a.e
sage: E.q_eigenform(10)