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SageMath
E = EllipticCurve("dt1")
E.isogeny_class()
Elliptic curves in class 303450dt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303450.dt1 | 303450dt1 | \([1, 1, 1, -1087513, 590731031]\) | \(-2088025/1008\) | \(-68667612309843750000\) | \([]\) | \(10575360\) | \(2.5119\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450dt1 has rank \(1\).
Complex multiplication
The elliptic curves in class 303450dt do not have complex multiplication.Modular form 303450.2.a.dt
sage: E.q_eigenform(10)