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SageMath
E = EllipticCurve("dd1")
E.isogeny_class()
Elliptic curves in class 303450.dd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303450.dd1 | 303450dd1 | \([1, 0, 1, 122674, 57266048]\) | \(6257929415/47029248\) | \(-1534347586800000000\) | \([]\) | \(4492800\) | \(2.1711\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450.dd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 303450.dd do not have complex multiplication.Modular form 303450.2.a.dd
sage: E.q_eigenform(10)