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SageMath
E = EllipticCurve("dl1")
E.isogeny_class()
Elliptic curves in class 254100dl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
254100.dl1 | 254100dl1 | \([0, 1, 0, -17367533, -27871481937]\) | \(-81756451446784/24958395\) | \(-176861276818380000000\) | \([]\) | \(12441600\) | \(2.8623\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 254100dl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 254100dl do not have complex multiplication.Modular form 254100.2.a.dl
sage: E.q_eigenform(10)