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SageMath
E = EllipticCurve("dp1")
E.isogeny_class()
Elliptic curves in class 303450.dp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303450.dp1 | 303450dp1 | \([1, 1, 1, -78138, -5118969]\) | \(18694465225/6858432\) | \(19356316875000000\) | \([]\) | \(3991680\) | \(1.8254\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450.dp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 303450.dp do not have complex multiplication.Modular form 303450.2.a.dp
sage: E.q_eigenform(10)