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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 303450.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303450.e1 | 303450e1 | \([1, 1, 0, 35452925, 281312642125]\) | \(6257929415/47029248\) | \(-37035420746368489200000000\) | \([]\) | \(76377600\) | \(3.5877\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 303450.e do not have complex multiplication.Modular form 303450.2.a.e
sage: E.q_eigenform(10)