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SageMath
E = EllipticCurve("dl1")
E.isogeny_class()
Elliptic curves in class 202800dl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
202800.bd1 | 202800dl1 | \([0, -1, 0, -1408, -29888]\) | \(-4225/3\) | \(-219348480000\) | \([]\) | \(193536\) | \(0.87607\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 202800dl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 202800dl do not have complex multiplication.Modular form 202800.2.a.dl
sage: E.q_eigenform(10)