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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 30345bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30345.q1 | 30345bd1 | \([0, 1, 1, 805, 7394]\) | \(11728027648/11252115\) | \(-55281640995\) | \([]\) | \(27648\) | \(0.74841\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30345bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 30345bd do not have complex multiplication.Modular form 30345.2.a.bd
sage: E.q_eigenform(10)