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SageMath
E = EllipticCurve("eg1")
E.isogeny_class()
Elliptic curves in class 303450eg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303450.eg1 | 303450eg1 | \([1, 1, 1, 4907, 460091]\) | \(6257929415/47029248\) | \(-98198245555200\) | \([]\) | \(898560\) | \(1.3664\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450eg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 303450eg do not have complex multiplication.Modular form 303450.2.a.eg
sage: E.q_eigenform(10)